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Finding the Third Proportional to 49,963 and 64,822

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Solution

The third proportional to 49,963 and 64,822 is: 84,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,963 : 64,822 = 64,822 : x
  2. Step 2: Convert to fraction form
    49,963/64,822 = 64,822/x
  3. Step 3: Cross multiply
    49,963x = 64,822 × 64,822
  4. Step 4: Simplify right side
    49,963x = 4,201,891,684
  5. Step 5: Solve for x
    x = 4,201,891,684/49,963
  6. Step 6: Final answer
    x = 84,100.07

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.