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Finding the Third Proportional to 40,357 and 79,684

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Solution

The third proportional to 40,357 and 79,684 is: 157,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,357 : 79,684 = 79,684 : x
  2. Step 2: Convert to fraction form
    40,357/79,684 = 79,684/x
  3. Step 3: Cross multiply
    40,357x = 79,684 × 79,684
  4. Step 4: Simplify right side
    40,357x = 6,349,539,856
  5. Step 5: Solve for x
    x = 6,349,539,856/40,357
  6. Step 6: Final answer
    x = 157,334.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.