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Finding the Third Proportional to 38,989.13 and 59,304.38

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Solution

The third proportional to 38,989.13 and 59,304.38 is: 90,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,989.13 : 59,304.38 = 59,304.38 : x
  2. Step 2: Convert to fraction form
    38,989.13/59,304.38 = 59,304.38/x
  3. Step 3: Cross multiply
    38,989.13x = 59,304.38 × 59,304.38
  4. Step 4: Simplify right side
    38,989.13x = 3,517,008,894.14
  5. Step 5: Solve for x
    x = 3,517,008,894.14/38,989.13
  6. Step 6: Final answer
    x = 90,204.87

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Why These Related Problems?

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