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Finding the Third Proportional to 29,592.50 and 63,577

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Solution

The third proportional to 29,592.50 and 63,577 is: 136,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,592.50 : 63,577 = 63,577 : x
  2. Step 2: Convert to fraction form
    29,592.50/63,577 = 63,577/x
  3. Step 3: Cross multiply
    29,592.50x = 63,577 × 63,577
  4. Step 4: Simplify right side
    29,592.50x = 4,042,034,929
  5. Step 5: Solve for x
    x = 4,042,034,929/29,592.50
  6. Step 6: Final answer
    x = 136,589.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.