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Finding the Third Proportional to 29,663 and 64,366

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Solution

The third proportional to 29,663 and 64,366 is: 139,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,663 : 64,366 = 64,366 : x
  2. Step 2: Convert to fraction form
    29,663/64,366 = 64,366/x
  3. Step 3: Cross multiply
    29,663x = 64,366 × 64,366
  4. Step 4: Simplify right side
    29,663x = 4,142,981,956
  5. Step 5: Solve for x
    x = 4,142,981,956/29,663
  6. Step 6: Final answer
    x = 139,668.34

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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.