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Finding the Third Proportional to 26,496 and 58,216

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Solution

The third proportional to 26,496 and 58,216 is: 127,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496 : 58,216 = 58,216 : x
  2. Step 2: Convert to fraction form
    26,496/58,216 = 58,216/x
  3. Step 3: Cross multiply
    26,496x = 58,216 × 58,216
  4. Step 4: Simplify right side
    26,496x = 3,389,102,656
  5. Step 5: Solve for x
    x = 3,389,102,656/26,496
  6. Step 6: Final answer
    x = 127,909.97

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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.