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Finding the Third Proportional to 26,478 and 56,796

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Solution

The third proportional to 26,478 and 56,796 is: 121,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478 : 56,796 = 56,796 : x
  2. Step 2: Convert to fraction form
    26,478/56,796 = 56,796/x
  3. Step 3: Cross multiply
    26,478x = 56,796 × 56,796
  4. Step 4: Simplify right side
    26,478x = 3,225,785,616
  5. Step 5: Solve for x
    x = 3,225,785,616/26,478
  6. Step 6: Final answer
    x = 121,828.90

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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.