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Finding the Third Proportional to 13,478.25 and 29,247.13

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Solution

The third proportional to 13,478.25 and 29,247.13 is: 63,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.25 : 29,247.13 = 29,247.13 : x
  2. Step 2: Convert to fraction form
    13,478.25/29,247.13 = 29,247.13/x
  3. Step 3: Cross multiply
    13,478.25x = 29,247.13 × 29,247.13
  4. Step 4: Simplify right side
    13,478.25x = 855,394,320.77
  5. Step 5: Solve for x
    x = 855,394,320.77/13,478.25
  6. Step 6: Final answer
    x = 63,464.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.