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Finding the Third Proportional to 5,266.69 and 11,522.53

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Solution

The third proportional to 5,266.69 and 11,522.53 is: 25,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.69 : 11,522.53 = 11,522.53 : x
  2. Step 2: Convert to fraction form
    5,266.69/11,522.53 = 11,522.53/x
  3. Step 3: Cross multiply
    5,266.69x = 11,522.53 × 11,522.53
  4. Step 4: Simplify right side
    5,266.69x = 132,768,726.41
  5. Step 5: Solve for x
    x = 132,768,726.41/5,266.69
  6. Step 6: Final answer
    x = 25,209.15

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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.