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Finding the Third Proportional to 26,031.38 and 54,659.81

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Solution

The third proportional to 26,031.38 and 54,659.81 is: 114,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,031.38 : 54,659.81 = 54,659.81 : x
  2. Step 2: Convert to fraction form
    26,031.38/54,659.81 = 54,659.81/x
  3. Step 3: Cross multiply
    26,031.38x = 54,659.81 × 54,659.81
  4. Step 4: Simplify right side
    26,031.38x = 2,987,695,102.54
  5. Step 5: Solve for x
    x = 2,987,695,102.54/26,031.38
  6. Step 6: Final answer
    x = 114,772.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.