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Finding the Third Proportional to 26,306 and 38,481

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Solution

The third proportional to 26,306 and 38,481 is: 56,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,306 : 38,481 = 38,481 : x
  2. Step 2: Convert to fraction form
    26,306/38,481 = 38,481/x
  3. Step 3: Cross multiply
    26,306x = 38,481 × 38,481
  4. Step 4: Simplify right side
    26,306x = 1,480,787,361
  5. Step 5: Solve for x
    x = 1,480,787,361/26,306
  6. Step 6: Final answer
    x = 56,290.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.