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Finding the Third Proportional to 26,721 and 57,723.75

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Solution

The third proportional to 26,721 and 57,723.75 is: 124,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,721 : 57,723.75 = 57,723.75 : x
  2. Step 2: Convert to fraction form
    26,721/57,723.75 = 57,723.75/x
  3. Step 3: Cross multiply
    26,721x = 57,723.75 × 57,723.75
  4. Step 4: Simplify right side
    26,721x = 3,332,031,314.06
  5. Step 5: Solve for x
    x = 3,332,031,314.06/26,721
  6. Step 6: Final answer
    x = 124,697.10

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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.