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Finding the Third Proportional to 38,639.53 and 81,430.31

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Solution

The third proportional to 38,639.53 and 81,430.31 is: 171,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,639.53 : 81,430.31 = 81,430.31 : x
  2. Step 2: Convert to fraction form
    38,639.53/81,430.31 = 81,430.31/x
  3. Step 3: Cross multiply
    38,639.53x = 81,430.31 × 81,430.31
  4. Step 4: Simplify right side
    38,639.53x = 6,630,895,793.85
  5. Step 5: Solve for x
    x = 6,630,895,793.85/38,639.53
  6. Step 6: Final answer
    x = 171,609.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.