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Finding the Third Proportional to 26,724 and 57,731

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Solution

The third proportional to 26,724 and 57,731 is: 124,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,724 : 57,731 = 57,731 : x
  2. Step 2: Convert to fraction form
    26,724/57,731 = 57,731/x
  3. Step 3: Cross multiply
    26,724x = 57,731 × 57,731
  4. Step 4: Simplify right side
    26,724x = 3,332,868,361
  5. Step 5: Solve for x
    x = 3,332,868,361/26,724
  6. Step 6: Final answer
    x = 124,714.43

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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.