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Finding the Third Proportional to 26,496 and 57,846

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Solution

The third proportional to 26,496 and 57,846 is: 126,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496 : 57,846 = 57,846 : x
  2. Step 2: Convert to fraction form
    26,496/57,846 = 57,846/x
  3. Step 3: Cross multiply
    26,496x = 57,846 × 57,846
  4. Step 4: Simplify right side
    26,496x = 3,346,159,716
  5. Step 5: Solve for x
    x = 3,346,159,716/26,496
  6. Step 6: Final answer
    x = 126,289.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.