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Finding the Third Proportional to 5,373.53 and 11,515.92

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Solution

The third proportional to 5,373.53 and 11,515.92 is: 24,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.53 : 11,515.92 = 11,515.92 : x
  2. Step 2: Convert to fraction form
    5,373.53/11,515.92 = 11,515.92/x
  3. Step 3: Cross multiply
    5,373.53x = 11,515.92 × 11,515.92
  4. Step 4: Simplify right side
    5,373.53x = 132,616,456.63
  5. Step 5: Solve for x
    x = 132,616,456.63/5,373.53
  6. Step 6: Final answer
    x = 24,679.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.