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Finding the Third Proportional to 36,479.25 and 78,587.25

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Solution

The third proportional to 36,479.25 and 78,587.25 is: 169,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,479.25 : 78,587.25 = 78,587.25 : x
  2. Step 2: Convert to fraction form
    36,479.25/78,587.25 = 78,587.25/x
  3. Step 3: Cross multiply
    36,479.25x = 78,587.25 × 78,587.25
  4. Step 4: Simplify right side
    36,479.25x = 6,175,955,862.56
  5. Step 5: Solve for x
    x = 6,175,955,862.56/36,479.25
  6. Step 6: Final answer
    x = 169,300.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.