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Finding the Third Proportional to 15,929 and 32,548

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Solution

The third proportional to 15,929 and 32,548 is: 66,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929 : 32,548 = 32,548 : x
  2. Step 2: Convert to fraction form
    15,929/32,548 = 32,548/x
  3. Step 3: Cross multiply
    15,929x = 32,548 × 32,548
  4. Step 4: Simplify right side
    15,929x = 1,059,372,304
  5. Step 5: Solve for x
    x = 1,059,372,304/15,929
  6. Step 6: Final answer
    x = 66,505.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.