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Finding the Third Proportional to 40,345.59 and 82,473.19

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Solution

The third proportional to 40,345.59 and 82,473.19 is: 168,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,345.59 : 82,473.19 = 82,473.19 : x
  2. Step 2: Convert to fraction form
    40,345.59/82,473.19 = 82,473.19/x
  3. Step 3: Cross multiply
    40,345.59x = 82,473.19 × 82,473.19
  4. Step 4: Simplify right side
    40,345.59x = 6,801,826,656.41
  5. Step 5: Solve for x
    x = 6,801,826,656.41/40,345.59
  6. Step 6: Final answer
    x = 168,589.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.