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Finding the Third Proportional to 26,200 and 40,065

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Solution

The third proportional to 26,200 and 40,065 is: 61,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200 : 40,065 = 40,065 : x
  2. Step 2: Convert to fraction form
    26,200/40,065 = 40,065/x
  3. Step 3: Cross multiply
    26,200x = 40,065 × 40,065
  4. Step 4: Simplify right side
    26,200x = 1,605,204,225
  5. Step 5: Solve for x
    x = 1,605,204,225/26,200
  6. Step 6: Final answer
    x = 61,267.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.