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Finding the Third Proportional to 38,932.50 and 85,195.50

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Solution

The third proportional to 38,932.50 and 85,195.50 is: 186,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,932.50 : 85,195.50 = 85,195.50 : x
  2. Step 2: Convert to fraction form
    38,932.50/85,195.50 = 85,195.50/x
  3. Step 3: Cross multiply
    38,932.50x = 85,195.50 × 85,195.50
  4. Step 4: Simplify right side
    38,932.50x = 7,258,273,220.25
  5. Step 5: Solve for x
    x = 7,258,273,220.25/38,932.50
  6. Step 6: Final answer
    x = 186,432.24

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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.