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Finding the Third Proportional to 9,972 and 15,644

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Solution

The third proportional to 9,972 and 15,644 is: 24,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 15,644 = 15,644 : x
  2. Step 2: Convert to fraction form
    9,972/15,644 = 15,644/x
  3. Step 3: Cross multiply
    9,972x = 15,644 × 15,644
  4. Step 4: Simplify right side
    9,972x = 244,734,736
  5. Step 5: Solve for x
    x = 244,734,736/9,972
  6. Step 6: Final answer
    x = 24,542.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.