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Finding the Third Proportional to 31,731.75 and 73,780.88

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Solution

The third proportional to 31,731.75 and 73,780.88 is: 171,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.75 : 73,780.88 = 73,780.88 : x
  2. Step 2: Convert to fraction form
    31,731.75/73,780.88 = 73,780.88/x
  3. Step 3: Cross multiply
    31,731.75x = 73,780.88 × 73,780.88
  4. Step 4: Simplify right side
    31,731.75x = 5,443,617,515.77
  5. Step 5: Solve for x
    x = 5,443,617,515.77/31,731.75
  6. Step 6: Final answer
    x = 171,551.13

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.