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Finding the Third Proportional to 38,976 and 59,428

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Solution

The third proportional to 38,976 and 59,428 is: 90,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,976 : 59,428 = 59,428 : x
  2. Step 2: Convert to fraction form
    38,976/59,428 = 59,428/x
  3. Step 3: Cross multiply
    38,976x = 59,428 × 59,428
  4. Step 4: Simplify right side
    38,976x = 3,531,687,184
  5. Step 5: Solve for x
    x = 3,531,687,184/38,976
  6. Step 6: Final answer
    x = 90,611.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.