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Finding the Third Proportional to 12,175.31 and 29,251.13

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Solution

The third proportional to 12,175.31 and 29,251.13 is: 70,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.31 : 29,251.13 = 29,251.13 : x
  2. Step 2: Convert to fraction form
    12,175.31/29,251.13 = 29,251.13/x
  3. Step 3: Cross multiply
    12,175.31x = 29,251.13 × 29,251.13
  4. Step 4: Simplify right side
    12,175.31x = 855,628,313.77
  5. Step 5: Solve for x
    x = 855,628,313.77/12,175.31
  6. Step 6: Final answer
    x = 70,275.68

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.