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Finding the Third Proportional to 15,597 and 27,732

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Solution

The third proportional to 15,597 and 27,732 is: 49,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597 : 27,732 = 27,732 : x
  2. Step 2: Convert to fraction form
    15,597/27,732 = 27,732/x
  3. Step 3: Cross multiply
    15,597x = 27,732 × 27,732
  4. Step 4: Simplify right side
    15,597x = 769,063,824
  5. Step 5: Solve for x
    x = 769,063,824/15,597
  6. Step 6: Final answer
    x = 49,308.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.