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Finding the Third Proportional to 38,823.75 and 83,184.19

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Solution

The third proportional to 38,823.75 and 83,184.19 is: 178,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,823.75 : 83,184.19 = 83,184.19 : x
  2. Step 2: Convert to fraction form
    38,823.75/83,184.19 = 83,184.19/x
  3. Step 3: Cross multiply
    38,823.75x = 83,184.19 × 83,184.19
  4. Step 4: Simplify right side
    38,823.75x = 6,919,609,050.04
  5. Step 5: Solve for x
    x = 6,919,609,050.04/38,823.75
  6. Step 6: Final answer
    x = 178,231.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.