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Finding the Third Proportional to 26,672 and 38,116

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Solution

The third proportional to 26,672 and 38,116 is: 54,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,672 : 38,116 = 38,116 : x
  2. Step 2: Convert to fraction form
    26,672/38,116 = 38,116/x
  3. Step 3: Cross multiply
    26,672x = 38,116 × 38,116
  4. Step 4: Simplify right side
    26,672x = 1,452,829,456
  5. Step 5: Solve for x
    x = 1,452,829,456/26,672
  6. Step 6: Final answer
    x = 54,470.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.