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Finding the Third Proportional to 42,306.75 and 62,001

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Solution

The third proportional to 42,306.75 and 62,001 is: 90,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,306.75 : 62,001 = 62,001 : x
  2. Step 2: Convert to fraction form
    42,306.75/62,001 = 62,001/x
  3. Step 3: Cross multiply
    42,306.75x = 62,001 × 62,001
  4. Step 4: Simplify right side
    42,306.75x = 3,844,124,001
  5. Step 5: Solve for x
    x = 3,844,124,001/42,306.75
  6. Step 6: Final answer
    x = 90,863.14

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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.