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Finding the Third Proportional to 6,758.44 and 14,663.53

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Solution

The third proportional to 6,758.44 and 14,663.53 is: 31,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.44 : 14,663.53 = 14,663.53 : x
  2. Step 2: Convert to fraction form
    6,758.44/14,663.53 = 14,663.53/x
  3. Step 3: Cross multiply
    6,758.44x = 14,663.53 × 14,663.53
  4. Step 4: Simplify right side
    6,758.44x = 215,019,148.72
  5. Step 5: Solve for x
    x = 215,019,148.72/6,758.44
  6. Step 6: Final answer
    x = 31,814.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.