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Finding the Third Proportional to 2,310.19 and 3,106.69

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Solution

The third proportional to 2,310.19 and 3,106.69 is: 4,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.19 : 3,106.69 = 3,106.69 : x
  2. Step 2: Convert to fraction form
    2,310.19/3,106.69 = 3,106.69/x
  3. Step 3: Cross multiply
    2,310.19x = 3,106.69 × 3,106.69
  4. Step 4: Simplify right side
    2,310.19x = 9,651,507.22
  5. Step 5: Solve for x
    x = 9,651,507.22/2,310.19
  6. Step 6: Final answer
    x = 4,177.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.