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Finding the Third Proportional to 23,101.25 and 56,727.75

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Solution

The third proportional to 23,101.25 and 56,727.75 is: 139,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.25 : 56,727.75 = 56,727.75 : x
  2. Step 2: Convert to fraction form
    23,101.25/56,727.75 = 56,727.75/x
  3. Step 3: Cross multiply
    23,101.25x = 56,727.75 × 56,727.75
  4. Step 4: Simplify right side
    23,101.25x = 3,218,037,620.06
  5. Step 5: Solve for x
    x = 3,218,037,620.06/23,101.25
  6. Step 6: Final answer
    x = 139,301.45

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.