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Finding the Third Proportional to 29,109 and 63,564

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Solution

The third proportional to 29,109 and 63,564 is: 138,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,109 : 63,564 = 63,564 : x
  2. Step 2: Convert to fraction form
    29,109/63,564 = 63,564/x
  3. Step 3: Cross multiply
    29,109x = 63,564 × 63,564
  4. Step 4: Simplify right side
    29,109x = 4,040,382,096
  5. Step 5: Solve for x
    x = 4,040,382,096/29,109
  6. Step 6: Final answer
    x = 138,801.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.