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Finding the Third Proportional to 26,478 and 56,802

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Solution

The third proportional to 26,478 and 56,802 is: 121,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478 : 56,802 = 56,802 : x
  2. Step 2: Convert to fraction form
    26,478/56,802 = 56,802/x
  3. Step 3: Cross multiply
    26,478x = 56,802 × 56,802
  4. Step 4: Simplify right side
    26,478x = 3,226,467,204
  5. Step 5: Solve for x
    x = 3,226,467,204/26,478
  6. Step 6: Final answer
    x = 121,854.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.