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Finding the Third Proportional to 29,544 and 64,020

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Solution

The third proportional to 29,544 and 64,020 is: 138,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544 : 64,020 = 64,020 : x
  2. Step 2: Convert to fraction form
    29,544/64,020 = 64,020/x
  3. Step 3: Cross multiply
    29,544x = 64,020 × 64,020
  4. Step 4: Simplify right side
    29,544x = 4,098,560,400
  5. Step 5: Solve for x
    x = 4,098,560,400/29,544
  6. Step 6: Final answer
    x = 138,727.34

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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.