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Finding the Third Proportional to 42,461.25 and 63,684.75

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Solution

The third proportional to 42,461.25 and 63,684.75 is: 95,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,461.25 : 63,684.75 = 63,684.75 : x
  2. Step 2: Convert to fraction form
    42,461.25/63,684.75 = 63,684.75/x
  3. Step 3: Cross multiply
    42,461.25x = 63,684.75 × 63,684.75
  4. Step 4: Simplify right side
    42,461.25x = 4,055,747,382.56
  5. Step 5: Solve for x
    x = 4,055,747,382.56/42,461.25
  6. Step 6: Final answer
    x = 95,516.44

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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.