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Finding the Third Proportional to 5,262.89 and 11,369.11

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Solution

The third proportional to 5,262.89 and 11,369.11 is: 24,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.89 : 11,369.11 = 11,369.11 : x
  2. Step 2: Convert to fraction form
    5,262.89/11,369.11 = 11,369.11/x
  3. Step 3: Cross multiply
    5,262.89x = 11,369.11 × 11,369.11
  4. Step 4: Simplify right side
    5,262.89x = 129,256,647.98
  5. Step 5: Solve for x
    x = 129,256,647.98/5,262.89
  6. Step 6: Final answer
    x = 24,560.01

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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.