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Finding the Third Proportional to 15,438 and 32,577

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Solution

The third proportional to 15,438 and 32,577 is: 68,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438 : 32,577 = 32,577 : x
  2. Step 2: Convert to fraction form
    15,438/32,577 = 32,577/x
  3. Step 3: Cross multiply
    15,438x = 32,577 × 32,577
  4. Step 4: Simplify right side
    15,438x = 1,061,260,929
  5. Step 5: Solve for x
    x = 1,061,260,929/15,438
  6. Step 6: Final answer
    x = 68,743.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.