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Finding the Third Proportional to 5,304.66 and 11,314.69

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Solution

The third proportional to 5,304.66 and 11,314.69 is: 24,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.66 : 11,314.69 = 11,314.69 : x
  2. Step 2: Convert to fraction form
    5,304.66/11,314.69 = 11,314.69/x
  3. Step 3: Cross multiply
    5,304.66x = 11,314.69 × 11,314.69
  4. Step 4: Simplify right side
    5,304.66x = 128,022,153.22
  5. Step 5: Solve for x
    x = 128,022,153.22/5,304.66
  6. Step 6: Final answer
    x = 24,133.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.