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Finding the Third Proportional to 38,677.50 and 84,825

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Solution

The third proportional to 38,677.50 and 84,825 is: 186,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,677.50 : 84,825 = 84,825 : x
  2. Step 2: Convert to fraction form
    38,677.50/84,825 = 84,825/x
  3. Step 3: Cross multiply
    38,677.50x = 84,825 × 84,825
  4. Step 4: Simplify right side
    38,677.50x = 7,195,280,625
  5. Step 5: Solve for x
    x = 7,195,280,625/38,677.50
  6. Step 6: Final answer
    x = 186,032.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.