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Finding the Third Proportional to 44,057 and 62,805

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Solution

The third proportional to 44,057 and 62,805 is: 89,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,057 : 62,805 = 62,805 : x
  2. Step 2: Convert to fraction form
    44,057/62,805 = 62,805/x
  3. Step 3: Cross multiply
    44,057x = 62,805 × 62,805
  4. Step 4: Simplify right side
    44,057x = 3,944,468,025
  5. Step 5: Solve for x
    x = 3,944,468,025/44,057
  6. Step 6: Final answer
    x = 89,531.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.