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Finding the Third Proportional to 26,724 and 58,778

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Solution

The third proportional to 26,724 and 58,778 is: 129,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,724 : 58,778 = 58,778 : x
  2. Step 2: Convert to fraction form
    26,724/58,778 = 58,778/x
  3. Step 3: Cross multiply
    26,724x = 58,778 × 58,778
  4. Step 4: Simplify right side
    26,724x = 3,454,853,284
  5. Step 5: Solve for x
    x = 3,454,853,284/26,724
  6. Step 6: Final answer
    x = 129,279.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.