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Finding the Third Proportional to 42,702.75 and 64,191.38

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Solution

The third proportional to 42,702.75 and 64,191.38 is: 96,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,702.75 : 64,191.38 = 64,191.38 : x
  2. Step 2: Convert to fraction form
    42,702.75/64,191.38 = 64,191.38/x
  3. Step 3: Cross multiply
    42,702.75x = 64,191.38 × 64,191.38
  4. Step 4: Simplify right side
    42,702.75x = 4,120,532,624.39
  5. Step 5: Solve for x
    x = 4,120,532,624.39/42,702.75
  6. Step 6: Final answer
    x = 96,493.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.