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Finding the Third Proportional to 26,762 and 38,766

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Solution

The third proportional to 26,762 and 38,766 is: 56,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,762 : 38,766 = 38,766 : x
  2. Step 2: Convert to fraction form
    26,762/38,766 = 38,766/x
  3. Step 3: Cross multiply
    26,762x = 38,766 × 38,766
  4. Step 4: Simplify right side
    26,762x = 1,502,802,756
  5. Step 5: Solve for x
    x = 1,502,802,756/26,762
  6. Step 6: Final answer
    x = 56,154.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.