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Finding the Third Proportional to 26,220 and 38,956

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Solution

The third proportional to 26,220 and 38,956 is: 57,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,220 : 38,956 = 38,956 : x
  2. Step 2: Convert to fraction form
    26,220/38,956 = 38,956/x
  3. Step 3: Cross multiply
    26,220x = 38,956 × 38,956
  4. Step 4: Simplify right side
    26,220x = 1,517,569,936
  5. Step 5: Solve for x
    x = 1,517,569,936/26,220
  6. Step 6: Final answer
    x = 57,878.33

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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.