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Finding the Third Proportional to 5,186.53 and 11,322.28

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Solution

The third proportional to 5,186.53 and 11,322.28 is: 24,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.53 : 11,322.28 = 11,322.28 : x
  2. Step 2: Convert to fraction form
    5,186.53/11,322.28 = 11,322.28/x
  3. Step 3: Cross multiply
    5,186.53x = 11,322.28 × 11,322.28
  4. Step 4: Simplify right side
    5,186.53x = 128,194,052.70
  5. Step 5: Solve for x
    x = 128,194,052.70/5,186.53
  6. Step 6: Final answer
    x = 24,716.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.