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Finding the Third Proportional to 26,384 and 56,800

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Solution

The third proportional to 26,384 and 56,800 is: 122,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384 : 56,800 = 56,800 : x
  2. Step 2: Convert to fraction form
    26,384/56,800 = 56,800/x
  3. Step 3: Cross multiply
    26,384x = 56,800 × 56,800
  4. Step 4: Simplify right side
    26,384x = 3,226,240,000
  5. Step 5: Solve for x
    x = 3,226,240,000/26,384
  6. Step 6: Final answer
    x = 122,280.17

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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.