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Finding the Third Proportional to 25,997.06 and 53,226.28

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Solution

The third proportional to 25,997.06 and 53,226.28 is: 108,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997.06 : 53,226.28 = 53,226.28 : x
  2. Step 2: Convert to fraction form
    25,997.06/53,226.28 = 53,226.28/x
  3. Step 3: Cross multiply
    25,997.06x = 53,226.28 × 53,226.28
  4. Step 4: Simplify right side
    25,997.06x = 2,833,037,015.70
  5. Step 5: Solve for x
    x = 2,833,037,015.70/25,997.06
  6. Step 6: Final answer
    x = 108,975.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.