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Finding the Third Proportional to 26,840 and 59,035

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Solution

The third proportional to 26,840 and 59,035 is: 129,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,840 : 59,035 = 59,035 : x
  2. Step 2: Convert to fraction form
    26,840/59,035 = 59,035/x
  3. Step 3: Cross multiply
    26,840x = 59,035 × 59,035
  4. Step 4: Simplify right side
    26,840x = 3,485,131,225
  5. Step 5: Solve for x
    x = 3,485,131,225/26,840
  6. Step 6: Final answer
    x = 129,848.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.