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Finding the Third Proportional to 40,484 and 59,398

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Solution

The third proportional to 40,484 and 59,398 is: 87,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,484 : 59,398 = 59,398 : x
  2. Step 2: Convert to fraction form
    40,484/59,398 = 59,398/x
  3. Step 3: Cross multiply
    40,484x = 59,398 × 59,398
  4. Step 4: Simplify right side
    40,484x = 3,528,122,404
  5. Step 5: Solve for x
    x = 3,528,122,404/40,484
  6. Step 6: Final answer
    x = 87,148.56

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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.