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Finding the Third Proportional to 5,266.69 and 11,532.38

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Solution

The third proportional to 5,266.69 and 11,532.38 is: 25,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.69 : 11,532.38 = 11,532.38 : x
  2. Step 2: Convert to fraction form
    5,266.69/11,532.38 = 11,532.38/x
  3. Step 3: Cross multiply
    5,266.69x = 11,532.38 × 11,532.38
  4. Step 4: Simplify right side
    5,266.69x = 132,995,673.14
  5. Step 5: Solve for x
    x = 132,995,673.14/5,266.69
  6. Step 6: Final answer
    x = 25,252.24

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1.5x scale

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.