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Finding the Third Proportional to 13,674 and 29,536

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Solution

The third proportional to 13,674 and 29,536 is: 63,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674 : 29,536 = 29,536 : x
  2. Step 2: Convert to fraction form
    13,674/29,536 = 29,536/x
  3. Step 3: Cross multiply
    13,674x = 29,536 × 29,536
  4. Step 4: Simplify right side
    13,674x = 872,375,296
  5. Step 5: Solve for x
    x = 872,375,296/13,674
  6. Step 6: Final answer
    x = 63,798.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.