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Finding the Third Proportional to 38,184.75 and 84,611.25

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Solution

The third proportional to 38,184.75 and 84,611.25 is: 187,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,184.75 : 84,611.25 = 84,611.25 : x
  2. Step 2: Convert to fraction form
    38,184.75/84,611.25 = 84,611.25/x
  3. Step 3: Cross multiply
    38,184.75x = 84,611.25 × 84,611.25
  4. Step 4: Simplify right side
    38,184.75x = 7,159,063,626.56
  5. Step 5: Solve for x
    x = 7,159,063,626.56/38,184.75
  6. Step 6: Final answer
    x = 187,484.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.