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Finding the Third Proportional to 15,924 and 22,644

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Solution

The third proportional to 15,924 and 22,644 is: 32,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924 : 22,644 = 22,644 : x
  2. Step 2: Convert to fraction form
    15,924/22,644 = 22,644/x
  3. Step 3: Cross multiply
    15,924x = 22,644 × 22,644
  4. Step 4: Simplify right side
    15,924x = 512,750,736
  5. Step 5: Solve for x
    x = 512,750,736/15,924
  6. Step 6: Final answer
    x = 32,199.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.