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Finding the Third Proportional to 26,320 and 38,098

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Solution

The third proportional to 26,320 and 38,098 is: 55,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,320 : 38,098 = 38,098 : x
  2. Step 2: Convert to fraction form
    26,320/38,098 = 38,098/x
  3. Step 3: Cross multiply
    26,320x = 38,098 × 38,098
  4. Step 4: Simplify right side
    26,320x = 1,451,457,604
  5. Step 5: Solve for x
    x = 1,451,457,604/26,320
  6. Step 6: Final answer
    x = 55,146.57

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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.