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Finding the Third Proportional to 26,810 and 56,860

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Solution

The third proportional to 26,810 and 56,860 is: 120,591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,810 : 56,860 = 56,860 : x
  2. Step 2: Convert to fraction form
    26,810/56,860 = 56,860/x
  3. Step 3: Cross multiply
    26,810x = 56,860 × 56,860
  4. Step 4: Simplify right side
    26,810x = 3,233,059,600
  5. Step 5: Solve for x
    x = 3,233,059,600/26,810
  6. Step 6: Final answer
    x = 120,591.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.