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Finding the Third Proportional to 31,908.75 and 70,338

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Solution

The third proportional to 31,908.75 and 70,338 is: 155,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.75 : 70,338 = 70,338 : x
  2. Step 2: Convert to fraction form
    31,908.75/70,338 = 70,338/x
  3. Step 3: Cross multiply
    31,908.75x = 70,338 × 70,338
  4. Step 4: Simplify right side
    31,908.75x = 4,947,434,244
  5. Step 5: Solve for x
    x = 4,947,434,244/31,908.75
  6. Step 6: Final answer
    x = 155,049.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.