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Finding the Third Proportional to 9,836.25 and 15,599

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Solution

The third proportional to 9,836.25 and 15,599 is: 24,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.25 : 15,599 = 15,599 : x
  2. Step 2: Convert to fraction form
    9,836.25/15,599 = 15,599/x
  3. Step 3: Cross multiply
    9,836.25x = 15,599 × 15,599
  4. Step 4: Simplify right side
    9,836.25x = 243,328,801
  5. Step 5: Solve for x
    x = 243,328,801/9,836.25
  6. Step 6: Final answer
    x = 24,737.96

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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.