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Finding the Third Proportional to 1,344.57 and 2,076.65

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Solution

The third proportional to 1,344.57 and 2,076.65 is: 3,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.57 : 2,076.65 = 2,076.65 : x
  2. Step 2: Convert to fraction form
    1,344.57/2,076.65 = 2,076.65/x
  3. Step 3: Cross multiply
    1,344.57x = 2,076.65 × 2,076.65
  4. Step 4: Simplify right side
    1,344.57x = 4,312,489.01
  5. Step 5: Solve for x
    x = 4,312,489.01/1,344.57
  6. Step 6: Final answer
    x = 3,207.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.