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Finding the Third Proportional to 2,122.88 and 2,310.19

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Solution

The third proportional to 2,122.88 and 2,310.19 is: 2,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.88 : 2,310.19 = 2,310.19 : x
  2. Step 2: Convert to fraction form
    2,122.88/2,310.19 = 2,310.19/x
  3. Step 3: Cross multiply
    2,122.88x = 2,310.19 × 2,310.19
  4. Step 4: Simplify right side
    2,122.88x = 5,336,966.29
  5. Step 5: Solve for x
    x = 5,336,966.29/2,122.88
  6. Step 6: Final answer
    x = 2,514.03

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.