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Finding the Third Proportional to 9,885.38 and 15,707.25

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Solution

The third proportional to 9,885.38 and 15,707.25 is: 24,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.38 : 15,707.25 = 15,707.25 : x
  2. Step 2: Convert to fraction form
    9,885.38/15,707.25 = 15,707.25/x
  3. Step 3: Cross multiply
    9,885.38x = 15,707.25 × 15,707.25
  4. Step 4: Simplify right side
    9,885.38x = 246,717,702.56
  5. Step 5: Solve for x
    x = 246,717,702.56/9,885.38
  6. Step 6: Final answer
    x = 24,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.