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Finding the Third Proportional to 32,731.88 and 78,729.75

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Solution

The third proportional to 32,731.88 and 78,729.75 is: 189,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,731.88 : 78,729.75 = 78,729.75 : x
  2. Step 2: Convert to fraction form
    32,731.88/78,729.75 = 78,729.75/x
  3. Step 3: Cross multiply
    32,731.88x = 78,729.75 × 78,729.75
  4. Step 4: Simplify right side
    32,731.88x = 6,198,373,535.06
  5. Step 5: Solve for x
    x = 6,198,373,535.06/32,731.88
  6. Step 6: Final answer
    x = 189,368.12

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.