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Finding the Third Proportional to 32,470.50 and 69,873

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Solution

The third proportional to 32,470.50 and 69,873 is: 150,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.50 : 69,873 = 69,873 : x
  2. Step 2: Convert to fraction form
    32,470.50/69,873 = 69,873/x
  3. Step 3: Cross multiply
    32,470.50x = 69,873 × 69,873
  4. Step 4: Simplify right side
    32,470.50x = 4,882,236,129
  5. Step 5: Solve for x
    x = 4,882,236,129/32,470.50
  6. Step 6: Final answer
    x = 150,359.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.