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Finding the Third Proportional to 41,371.25 and 63,929

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Solution

The third proportional to 41,371.25 and 63,929 is: 98,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,371.25 : 63,929 = 63,929 : x
  2. Step 2: Convert to fraction form
    41,371.25/63,929 = 63,929/x
  3. Step 3: Cross multiply
    41,371.25x = 63,929 × 63,929
  4. Step 4: Simplify right side
    41,371.25x = 4,086,917,041
  5. Step 5: Solve for x
    x = 4,086,917,041/41,371.25
  6. Step 6: Final answer
    x = 98,786.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.