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Finding the Third Proportional to 42,822 and 63,996.75

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Solution

The third proportional to 42,822 and 63,996.75 is: 95,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,822 : 63,996.75 = 63,996.75 : x
  2. Step 2: Convert to fraction form
    42,822/63,996.75 = 63,996.75/x
  3. Step 3: Cross multiply
    42,822x = 63,996.75 × 63,996.75
  4. Step 4: Simplify right side
    42,822x = 4,095,584,010.56
  5. Step 5: Solve for x
    x = 4,095,584,010.56/42,822
  6. Step 6: Final answer
    x = 95,642.05

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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.