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Finding the Third Proportional to 26,862 and 58,908

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Solution

The third proportional to 26,862 and 58,908 is: 129,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,862 : 58,908 = 58,908 : x
  2. Step 2: Convert to fraction form
    26,862/58,908 = 58,908/x
  3. Step 3: Cross multiply
    26,862x = 58,908 × 58,908
  4. Step 4: Simplify right side
    26,862x = 3,470,152,464
  5. Step 5: Solve for x
    x = 3,470,152,464/26,862
  6. Step 6: Final answer
    x = 129,184.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.