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Finding the Third Proportional to 26,523 and 58,311

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Solution

The third proportional to 26,523 and 58,311 is: 128,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,523 : 58,311 = 58,311 : x
  2. Step 2: Convert to fraction form
    26,523/58,311 = 58,311/x
  3. Step 3: Cross multiply
    26,523x = 58,311 × 58,311
  4. Step 4: Simplify right side
    26,523x = 3,400,172,721
  5. Step 5: Solve for x
    x = 3,400,172,721/26,523
  6. Step 6: Final answer
    x = 128,197.14

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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.