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Finding the Third Proportional to 29,324 and 61,564

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Solution

The third proportional to 29,324 and 61,564 is: 129,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,324 : 61,564 = 61,564 : x
  2. Step 2: Convert to fraction form
    29,324/61,564 = 61,564/x
  3. Step 3: Cross multiply
    29,324x = 61,564 × 61,564
  4. Step 4: Simplify right side
    29,324x = 3,790,126,096
  5. Step 5: Solve for x
    x = 3,790,126,096/29,324
  6. Step 6: Final answer
    x = 129,249.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.