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Finding the Third Proportional to 5,318.30 and 11,569.22

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Solution

The third proportional to 5,318.30 and 11,569.22 is: 25,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.30 : 11,569.22 = 11,569.22 : x
  2. Step 2: Convert to fraction form
    5,318.30/11,569.22 = 11,569.22/x
  3. Step 3: Cross multiply
    5,318.30x = 11,569.22 × 11,569.22
  4. Step 4: Simplify right side
    5,318.30x = 133,846,822.49
  5. Step 5: Solve for x
    x = 133,846,822.49/5,318.30
  6. Step 6: Final answer
    x = 25,167.23

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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.