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Finding the Third Proportional to 30,822 and 66,567

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Solution

The third proportional to 30,822 and 66,567 is: 143,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822 : 66,567 = 66,567 : x
  2. Step 2: Convert to fraction form
    30,822/66,567 = 66,567/x
  3. Step 3: Cross multiply
    30,822x = 66,567 × 66,567
  4. Step 4: Simplify right side
    30,822x = 4,431,165,489
  5. Step 5: Solve for x
    x = 4,431,165,489/30,822
  6. Step 6: Final answer
    x = 143,766.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.