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Finding the Third Proportional to 26,800 and 58,361

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Solution

The third proportional to 26,800 and 58,361 is: 127,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,800 : 58,361 = 58,361 : x
  2. Step 2: Convert to fraction form
    26,800/58,361 = 58,361/x
  3. Step 3: Cross multiply
    26,800x = 58,361 × 58,361
  4. Step 4: Simplify right side
    26,800x = 3,406,006,321
  5. Step 5: Solve for x
    x = 3,406,006,321/26,800
  6. Step 6: Final answer
    x = 127,089.79

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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.