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Finding the Third Proportional to 26,022 and 38,745

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Solution

The third proportional to 26,022 and 38,745 is: 57,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022 : 38,745 = 38,745 : x
  2. Step 2: Convert to fraction form
    26,022/38,745 = 38,745/x
  3. Step 3: Cross multiply
    26,022x = 38,745 × 38,745
  4. Step 4: Simplify right side
    26,022x = 1,501,175,025
  5. Step 5: Solve for x
    x = 1,501,175,025/26,022
  6. Step 6: Final answer
    x = 57,688.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.