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Finding the Third Proportional to 26,259 and 58,296

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Solution

The third proportional to 26,259 and 58,296 is: 129,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,259 : 58,296 = 58,296 : x
  2. Step 2: Convert to fraction form
    26,259/58,296 = 58,296/x
  3. Step 3: Cross multiply
    26,259x = 58,296 × 58,296
  4. Step 4: Simplify right side
    26,259x = 3,398,423,616
  5. Step 5: Solve for x
    x = 3,398,423,616/26,259
  6. Step 6: Final answer
    x = 129,419.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.