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Finding the Third Proportional to 13,251.75 and 18,574.13

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Solution

The third proportional to 13,251.75 and 18,574.13 is: 26,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.75 : 18,574.13 = 18,574.13 : x
  2. Step 2: Convert to fraction form
    13,251.75/18,574.13 = 18,574.13/x
  3. Step 3: Cross multiply
    13,251.75x = 18,574.13 × 18,574.13
  4. Step 4: Simplify right side
    13,251.75x = 344,998,119.52
  5. Step 5: Solve for x
    x = 344,998,119.52/13,251.75
  6. Step 6: Final answer
    x = 26,034.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.