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Finding the Third Proportional to 2,310.40 and 5,062.18

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Solution

The third proportional to 2,310.40 and 5,062.18 is: 11,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.40 : 5,062.18 = 5,062.18 : x
  2. Step 2: Convert to fraction form
    2,310.40/5,062.18 = 5,062.18/x
  3. Step 3: Cross multiply
    2,310.40x = 5,062.18 × 5,062.18
  4. Step 4: Simplify right side
    2,310.40x = 25,625,702.74
  5. Step 5: Solve for x
    x = 25,625,702.74/2,310.40
  6. Step 6: Final answer
    x = 11,091.46

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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.