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Finding the Third Proportional to 29,577 and 64,077

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Solution

The third proportional to 29,577 and 64,077 is: 138,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,577 : 64,077 = 64,077 : x
  2. Step 2: Convert to fraction form
    29,577/64,077 = 64,077/x
  3. Step 3: Cross multiply
    29,577x = 64,077 × 64,077
  4. Step 4: Simplify right side
    29,577x = 4,105,861,929
  5. Step 5: Solve for x
    x = 4,105,861,929/29,577
  6. Step 6: Final answer
    x = 138,819.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.