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Finding the Third Proportional to 40,444 and 87,464

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Solution

The third proportional to 40,444 and 87,464 is: 189,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,444 : 87,464 = 87,464 : x
  2. Step 2: Convert to fraction form
    40,444/87,464 = 87,464/x
  3. Step 3: Cross multiply
    40,444x = 87,464 × 87,464
  4. Step 4: Simplify right side
    40,444x = 7,649,951,296
  5. Step 5: Solve for x
    x = 7,649,951,296/40,444
  6. Step 6: Final answer
    x = 189,149.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.