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Finding the Third Proportional to 13,499 and 29,674

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Solution

The third proportional to 13,499 and 29,674 is: 65,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499 : 29,674 = 29,674 : x
  2. Step 2: Convert to fraction form
    13,499/29,674 = 29,674/x
  3. Step 3: Cross multiply
    13,499x = 29,674 × 29,674
  4. Step 4: Simplify right side
    13,499x = 880,546,276
  5. Step 5: Solve for x
    x = 880,546,276/13,499
  6. Step 6: Final answer
    x = 65,230.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.