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Finding the Third Proportional to 13,540 and 29,564

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Solution

The third proportional to 13,540 and 29,564 is: 64,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540 : 29,564 = 29,564 : x
  2. Step 2: Convert to fraction form
    13,540/29,564 = 29,564/x
  3. Step 3: Cross multiply
    13,540x = 29,564 × 29,564
  4. Step 4: Simplify right side
    13,540x = 874,030,096
  5. Step 5: Solve for x
    x = 874,030,096/13,540
  6. Step 6: Final answer
    x = 64,551.71

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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.