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Finding the Third Proportional to 43,022 and 63,122

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Solution

The third proportional to 43,022 and 63,122 is: 92,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,022 : 63,122 = 63,122 : x
  2. Step 2: Convert to fraction form
    43,022/63,122 = 63,122/x
  3. Step 3: Cross multiply
    43,022x = 63,122 × 63,122
  4. Step 4: Simplify right side
    43,022x = 3,984,386,884
  5. Step 5: Solve for x
    x = 3,984,386,884/43,022
  6. Step 6: Final answer
    x = 92,612.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.