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Finding the Third Proportional to 42,397 and 62,362

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Solution

The third proportional to 42,397 and 62,362 is: 91,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,397 : 62,362 = 62,362 : x
  2. Step 2: Convert to fraction form
    42,397/62,362 = 62,362/x
  3. Step 3: Cross multiply
    42,397x = 62,362 × 62,362
  4. Step 4: Simplify right side
    42,397x = 3,889,019,044
  5. Step 5: Solve for x
    x = 3,889,019,044/42,397
  6. Step 6: Final answer
    x = 91,728.64

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