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Finding the Third Proportional to 26,983.13 and 58,274.44

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Solution

The third proportional to 26,983.13 and 58,274.44 is: 125,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,983.13 : 58,274.44 = 58,274.44 : x
  2. Step 2: Convert to fraction form
    26,983.13/58,274.44 = 58,274.44/x
  3. Step 3: Cross multiply
    26,983.13x = 58,274.44 × 58,274.44
  4. Step 4: Simplify right side
    26,983.13x = 3,395,910,065.94
  5. Step 5: Solve for x
    x = 3,395,910,065.94/26,983.13
  6. Step 6: Final answer
    x = 125,853.11

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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.