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Finding the Third Proportional to 4,204.13 and 9,056.25

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Solution

The third proportional to 4,204.13 and 9,056.25 is: 19,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.13 : 9,056.25 = 9,056.25 : x
  2. Step 2: Convert to fraction form
    4,204.13/9,056.25 = 9,056.25/x
  3. Step 3: Cross multiply
    4,204.13x = 9,056.25 × 9,056.25
  4. Step 4: Simplify right side
    4,204.13x = 82,015,664.06
  5. Step 5: Solve for x
    x = 82,015,664.06/4,204.13
  6. Step 6: Final answer
    x = 19,508.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.