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Finding the Third Proportional to 5,266.69 and 11,510.44

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Solution

The third proportional to 5,266.69 and 11,510.44 is: 25,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.69 : 11,510.44 = 11,510.44 : x
  2. Step 2: Convert to fraction form
    5,266.69/11,510.44 = 11,510.44/x
  3. Step 3: Cross multiply
    5,266.69x = 11,510.44 × 11,510.44
  4. Step 4: Simplify right side
    5,266.69x = 132,490,171.44
  5. Step 5: Solve for x
    x = 132,490,171.44/5,266.69
  6. Step 6: Final answer
    x = 25,156.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.