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Finding the Third Proportional to 26,806 and 62,329

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Solution

The third proportional to 26,806 and 62,329 is: 144,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806 : 62,329 = 62,329 : x
  2. Step 2: Convert to fraction form
    26,806/62,329 = 62,329/x
  3. Step 3: Cross multiply
    26,806x = 62,329 × 62,329
  4. Step 4: Simplify right side
    26,806x = 3,884,904,241
  5. Step 5: Solve for x
    x = 3,884,904,241/26,806
  6. Step 6: Final answer
    x = 144,926.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.