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Finding the Third Proportional to 2,346.26 and 5,132.95

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Solution

The third proportional to 2,346.26 and 5,132.95 is: 11,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.26 : 5,132.95 = 5,132.95 : x
  2. Step 2: Convert to fraction form
    2,346.26/5,132.95 = 5,132.95/x
  3. Step 3: Cross multiply
    2,346.26x = 5,132.95 × 5,132.95
  4. Step 4: Simplify right side
    2,346.26x = 26,347,207.78
  5. Step 5: Solve for x
    x = 26,347,207.78/2,346.26
  6. Step 6: Final answer
    x = 11,229.46

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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.