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Finding the Third Proportional to 41,046 and 87,924

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Solution

The third proportional to 41,046 and 87,924 is: 188,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,046 : 87,924 = 87,924 : x
  2. Step 2: Convert to fraction form
    41,046/87,924 = 87,924/x
  3. Step 3: Cross multiply
    41,046x = 87,924 × 87,924
  4. Step 4: Simplify right side
    41,046x = 7,730,629,776
  5. Step 5: Solve for x
    x = 7,730,629,776/41,046
  6. Step 6: Final answer
    x = 188,340.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.