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Finding the Third Proportional to 38,881.90 and 85,065.19

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Solution

The third proportional to 38,881.90 and 85,065.19 is: 186,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,881.90 : 85,065.19 = 85,065.19 : x
  2. Step 2: Convert to fraction form
    38,881.90/85,065.19 = 85,065.19/x
  3. Step 3: Cross multiply
    38,881.90x = 85,065.19 × 85,065.19
  4. Step 4: Simplify right side
    38,881.90x = 7,236,086,124.41
  5. Step 5: Solve for x
    x = 7,236,086,124.41/38,881.90
  6. Step 6: Final answer
    x = 186,104.24

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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.