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Finding the Third Proportional to 31,947.75 and 75,178.13

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Solution

The third proportional to 31,947.75 and 75,178.13 is: 176,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947.75 : 75,178.13 = 75,178.13 : x
  2. Step 2: Convert to fraction form
    31,947.75/75,178.13 = 75,178.13/x
  3. Step 3: Cross multiply
    31,947.75x = 75,178.13 × 75,178.13
  4. Step 4: Simplify right side
    31,947.75x = 5,651,750,478.52
  5. Step 5: Solve for x
    x = 5,651,750,478.52/31,947.75
  6. Step 6: Final answer
    x = 176,906.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.