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Finding the Third Proportional to 2,329.59 and 5,144.34

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Solution

The third proportional to 2,329.59 and 5,144.34 is: 11,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.59 : 5,144.34 = 5,144.34 : x
  2. Step 2: Convert to fraction form
    2,329.59/5,144.34 = 5,144.34/x
  3. Step 3: Cross multiply
    2,329.59x = 5,144.34 × 5,144.34
  4. Step 4: Simplify right side
    2,329.59x = 26,464,272.62
  5. Step 5: Solve for x
    x = 26,464,272.62/2,329.59
  6. Step 6: Final answer
    x = 11,360.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.