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Finding the Third Proportional to 13,415.50 and 29,474

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Solution

The third proportional to 13,415.50 and 29,474 is: 64,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.50 : 29,474 = 29,474 : x
  2. Step 2: Convert to fraction form
    13,415.50/29,474 = 29,474/x
  3. Step 3: Cross multiply
    13,415.50x = 29,474 × 29,474
  4. Step 4: Simplify right side
    13,415.50x = 868,716,676
  5. Step 5: Solve for x
    x = 868,716,676/13,415.50
  6. Step 6: Final answer
    x = 64,754.70

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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.