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Finding the Third Proportional to 26,899 and 58,719

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Solution

The third proportional to 26,899 and 58,719 is: 128,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,899 : 58,719 = 58,719 : x
  2. Step 2: Convert to fraction form
    26,899/58,719 = 58,719/x
  3. Step 3: Cross multiply
    26,899x = 58,719 × 58,719
  4. Step 4: Simplify right side
    26,899x = 3,447,920,961
  5. Step 5: Solve for x
    x = 3,447,920,961/26,899
  6. Step 6: Final answer
    x = 128,180.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.