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Finding the Third Proportional to 5,264.16 and 11,517.47

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Solution

The third proportional to 5,264.16 and 11,517.47 is: 25,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.16 : 11,517.47 = 11,517.47 : x
  2. Step 2: Convert to fraction form
    5,264.16/11,517.47 = 11,517.47/x
  3. Step 3: Cross multiply
    5,264.16x = 11,517.47 × 11,517.47
  4. Step 4: Simplify right side
    5,264.16x = 132,652,086.41
  5. Step 5: Solve for x
    x = 132,652,086.41/5,264.16
  6. Step 6: Final answer
    x = 25,199.12

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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.