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Finding the Third Proportional to 42,839.25 and 64,006.88

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Solution

The third proportional to 42,839.25 and 64,006.88 is: 95,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,839.25 : 64,006.88 = 64,006.88 : x
  2. Step 2: Convert to fraction form
    42,839.25/64,006.88 = 64,006.88/x
  3. Step 3: Cross multiply
    42,839.25x = 64,006.88 × 64,006.88
  4. Step 4: Simplify right side
    42,839.25x = 4,096,880,047.27
  5. Step 5: Solve for x
    x = 4,096,880,047.27/42,839.25
  6. Step 6: Final answer
    x = 95,633.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.