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Finding the Third Proportional to 32,473 and 69,802

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Solution

The third proportional to 32,473 and 69,802 is: 150,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473 : 69,802 = 69,802 : x
  2. Step 2: Convert to fraction form
    32,473/69,802 = 69,802/x
  3. Step 3: Cross multiply
    32,473x = 69,802 × 69,802
  4. Step 4: Simplify right side
    32,473x = 4,872,319,204
  5. Step 5: Solve for x
    x = 4,872,319,204/32,473
  6. Step 6: Final answer
    x = 150,042.16

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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.