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Finding the Third Proportional to 5,188.79 and 11,197.70

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Solution

The third proportional to 5,188.79 and 11,197.70 is: 24,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.79 : 11,197.70 = 11,197.70 : x
  2. Step 2: Convert to fraction form
    5,188.79/11,197.70 = 11,197.70/x
  3. Step 3: Cross multiply
    5,188.79x = 11,197.70 × 11,197.70
  4. Step 4: Simplify right side
    5,188.79x = 125,388,402.18
  5. Step 5: Solve for x
    x = 125,388,402.18/5,188.79
  6. Step 6: Final answer
    x = 24,165.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.