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Finding the Third Proportional to 28,317 and 44,022

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Solution

The third proportional to 28,317 and 44,022 is: 68,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,317 : 44,022 = 44,022 : x
  2. Step 2: Convert to fraction form
    28,317/44,022 = 44,022/x
  3. Step 3: Cross multiply
    28,317x = 44,022 × 44,022
  4. Step 4: Simplify right side
    28,317x = 1,937,936,484
  5. Step 5: Solve for x
    x = 1,937,936,484/28,317
  6. Step 6: Final answer
    x = 68,437.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.