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Finding the Third Proportional to 40,458 and 87,484

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Solution

The third proportional to 40,458 and 87,484 is: 189,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,458 : 87,484 = 87,484 : x
  2. Step 2: Convert to fraction form
    40,458/87,484 = 87,484/x
  3. Step 3: Cross multiply
    40,458x = 87,484 × 87,484
  4. Step 4: Simplify right side
    40,458x = 7,653,450,256
  5. Step 5: Solve for x
    x = 7,653,450,256/40,458
  6. Step 6: Final answer
    x = 189,170.26

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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.