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Finding the Third Proportional to 26,674 and 39,814

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Solution

The third proportional to 26,674 and 39,814 is: 59,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,674 : 39,814 = 39,814 : x
  2. Step 2: Convert to fraction form
    26,674/39,814 = 39,814/x
  3. Step 3: Cross multiply
    26,674x = 39,814 × 39,814
  4. Step 4: Simplify right side
    26,674x = 1,585,154,596
  5. Step 5: Solve for x
    x = 1,585,154,596/26,674
  6. Step 6: Final answer
    x = 59,426.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.