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Finding the Third Proportional to 15,855.75 and 36,867.66

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Solution

The third proportional to 15,855.75 and 36,867.66 is: 85,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.75 : 36,867.66 = 36,867.66 : x
  2. Step 2: Convert to fraction form
    15,855.75/36,867.66 = 36,867.66/x
  3. Step 3: Cross multiply
    15,855.75x = 36,867.66 × 36,867.66
  4. Step 4: Simplify right side
    15,855.75x = 1,359,224,077.37
  5. Step 5: Solve for x
    x = 1,359,224,077.37/15,855.75
  6. Step 6: Final answer
    x = 85,724.36

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.