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Finding the Third Proportional to 5,497.88 and 11,147.63

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Solution

The third proportional to 5,497.88 and 11,147.63 is: 22,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.88 : 11,147.63 = 11,147.63 : x
  2. Step 2: Convert to fraction form
    5,497.88/11,147.63 = 11,147.63/x
  3. Step 3: Cross multiply
    5,497.88x = 11,147.63 × 11,147.63
  4. Step 4: Simplify right side
    5,497.88x = 124,269,543.14
  5. Step 5: Solve for x
    x = 124,269,543.14/5,497.88
  6. Step 6: Final answer
    x = 22,603.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.