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Finding the Third Proportional to 6,543.91 and 15,311.85

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Solution

The third proportional to 6,543.91 and 15,311.85 is: 35,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.91 : 15,311.85 = 15,311.85 : x
  2. Step 2: Convert to fraction form
    6,543.91/15,311.85 = 15,311.85/x
  3. Step 3: Cross multiply
    6,543.91x = 15,311.85 × 15,311.85
  4. Step 4: Simplify right side
    6,543.91x = 234,452,678.65
  5. Step 5: Solve for x
    x = 234,452,678.65/6,543.91
  6. Step 6: Final answer
    x = 35,827.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.