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Finding the Third Proportional to 38,886 and 85,548

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Solution

The third proportional to 38,886 and 85,548 is: 188,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,886 : 85,548 = 85,548 : x
  2. Step 2: Convert to fraction form
    38,886/85,548 = 85,548/x
  3. Step 3: Cross multiply
    38,886x = 85,548 × 85,548
  4. Step 4: Simplify right side
    38,886x = 7,318,460,304
  5. Step 5: Solve for x
    x = 7,318,460,304/38,886
  6. Step 6: Final answer
    x = 188,202.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.