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Finding the Third Proportional to 26,718 and 58,620

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Solution

The third proportional to 26,718 and 58,620 is: 128,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,718 : 58,620 = 58,620 : x
  2. Step 2: Convert to fraction form
    26,718/58,620 = 58,620/x
  3. Step 3: Cross multiply
    26,718x = 58,620 × 58,620
  4. Step 4: Simplify right side
    26,718x = 3,436,304,400
  5. Step 5: Solve for x
    x = 3,436,304,400/26,718
  6. Step 6: Final answer
    x = 128,613.83

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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.