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Finding the Third Proportional to 36,782 and 78,748

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Solution

The third proportional to 36,782 and 78,748 is: 168,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782 : 78,748 = 78,748 : x
  2. Step 2: Convert to fraction form
    36,782/78,748 = 78,748/x
  3. Step 3: Cross multiply
    36,782x = 78,748 × 78,748
  4. Step 4: Simplify right side
    36,782x = 6,201,247,504
  5. Step 5: Solve for x
    x = 6,201,247,504/36,782
  6. Step 6: Final answer
    x = 168,594.63

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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.