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Finding the Third Proportional to 42,398 and 62,364

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Solution

The third proportional to 42,398 and 62,364 is: 91,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,398 : 62,364 = 62,364 : x
  2. Step 2: Convert to fraction form
    42,398/62,364 = 62,364/x
  3. Step 3: Cross multiply
    42,398x = 62,364 × 62,364
  4. Step 4: Simplify right side
    42,398x = 3,889,268,496
  5. Step 5: Solve for x
    x = 3,889,268,496/42,398
  6. Step 6: Final answer
    x = 91,732.36

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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.