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Finding the Third Proportional to 26,001 and 56,150

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Solution

The third proportional to 26,001 and 56,150 is: 121,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,001 : 56,150 = 56,150 : x
  2. Step 2: Convert to fraction form
    26,001/56,150 = 56,150/x
  3. Step 3: Cross multiply
    26,001x = 56,150 × 56,150
  4. Step 4: Simplify right side
    26,001x = 3,152,822,500
  5. Step 5: Solve for x
    x = 3,152,822,500/26,001
  6. Step 6: Final answer
    x = 121,257.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.