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Finding the Third Proportional to 42,417 and 62,457.75

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Solution

The third proportional to 42,417 and 62,457.75 is: 91,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,417 : 62,457.75 = 62,457.75 : x
  2. Step 2: Convert to fraction form
    42,417/62,457.75 = 62,457.75/x
  3. Step 3: Cross multiply
    42,417x = 62,457.75 × 62,457.75
  4. Step 4: Simplify right side
    42,417x = 3,900,970,535.06
  5. Step 5: Solve for x
    x = 3,900,970,535.06/42,417
  6. Step 6: Final answer
    x = 91,967.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.