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Finding the Third Proportional to 38,115 and 55,788.75

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Solution

The third proportional to 38,115 and 55,788.75 is: 81,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,115 : 55,788.75 = 55,788.75 : x
  2. Step 2: Convert to fraction form
    38,115/55,788.75 = 55,788.75/x
  3. Step 3: Cross multiply
    38,115x = 55,788.75 × 55,788.75
  4. Step 4: Simplify right side
    38,115x = 3,112,384,626.56
  5. Step 5: Solve for x
    x = 3,112,384,626.56/38,115
  6. Step 6: Final answer
    x = 81,657.74

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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.