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Finding the Third Proportional to 32,444 and 71,278

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Solution

The third proportional to 32,444 and 71,278 is: 156,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,444 : 71,278 = 71,278 : x
  2. Step 2: Convert to fraction form
    32,444/71,278 = 71,278/x
  3. Step 3: Cross multiply
    32,444x = 71,278 × 71,278
  4. Step 4: Simplify right side
    32,444x = 5,080,553,284
  5. Step 5: Solve for x
    x = 5,080,553,284/32,444
  6. Step 6: Final answer
    x = 156,594.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.