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Finding the Third Proportional to 36,517.50 and 77,743.13

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Solution

The third proportional to 36,517.50 and 77,743.13 is: 165,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,517.50 : 77,743.13 = 77,743.13 : x
  2. Step 2: Convert to fraction form
    36,517.50/77,743.13 = 77,743.13/x
  3. Step 3: Cross multiply
    36,517.50x = 77,743.13 × 77,743.13
  4. Step 4: Simplify right side
    36,517.50x = 6,043,993,484.77
  5. Step 5: Solve for x
    x = 6,043,993,484.77/36,517.50
  6. Step 6: Final answer
    x = 165,509.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.