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Finding the Third Proportional to 29,566 and 64,049

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Solution

The third proportional to 29,566 and 64,049 is: 138,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566 : 64,049 = 64,049 : x
  2. Step 2: Convert to fraction form
    29,566/64,049 = 64,049/x
  3. Step 3: Cross multiply
    29,566x = 64,049 × 64,049
  4. Step 4: Simplify right side
    29,566x = 4,102,274,401
  5. Step 5: Solve for x
    x = 4,102,274,401/29,566
  6. Step 6: Final answer
    x = 138,749.73

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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.