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Finding the Third Proportional to 13,713.75 and 29,508.19

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Solution

The third proportional to 13,713.75 and 29,508.19 is: 63,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.75 : 29,508.19 = 29,508.19 : x
  2. Step 2: Convert to fraction form
    13,713.75/29,508.19 = 29,508.19/x
  3. Step 3: Cross multiply
    13,713.75x = 29,508.19 × 29,508.19
  4. Step 4: Simplify right side
    13,713.75x = 870,733,129.54
  5. Step 5: Solve for x
    x = 870,733,129.54/13,713.75
  6. Step 6: Final answer
    x = 63,493.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.