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Finding the Third Proportional to 5,663.53 and 12,147.47

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Solution

The third proportional to 5,663.53 and 12,147.47 is: 26,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.53 : 12,147.47 = 12,147.47 : x
  2. Step 2: Convert to fraction form
    5,663.53/12,147.47 = 12,147.47/x
  3. Step 3: Cross multiply
    5,663.53x = 12,147.47 × 12,147.47
  4. Step 4: Simplify right side
    5,663.53x = 147,560,997.03
  5. Step 5: Solve for x
    x = 147,560,997.03/5,663.53
  6. Step 6: Final answer
    x = 26,054.59

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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.