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Finding the Third Proportional to 15,952 and 34,927

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Solution

The third proportional to 15,952 and 34,927 is: 76,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952 : 34,927 = 34,927 : x
  2. Step 2: Convert to fraction form
    15,952/34,927 = 34,927/x
  3. Step 3: Cross multiply
    15,952x = 34,927 × 34,927
  4. Step 4: Simplify right side
    15,952x = 1,219,895,329
  5. Step 5: Solve for x
    x = 1,219,895,329/15,952
  6. Step 6: Final answer
    x = 76,472.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.