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Finding the Third Proportional to 9,744 and 15,592

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Solution

The third proportional to 9,744 and 15,592 is: 24,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744 : 15,592 = 15,592 : x
  2. Step 2: Convert to fraction form
    9,744/15,592 = 15,592/x
  3. Step 3: Cross multiply
    9,744x = 15,592 × 15,592
  4. Step 4: Simplify right side
    9,744x = 243,110,464
  5. Step 5: Solve for x
    x = 243,110,464/9,744
  6. Step 6: Final answer
    x = 24,949.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.