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Finding the Third Proportional to 1,343.56 and 2,076.13

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Solution

The third proportional to 1,343.56 and 2,076.13 is: 3,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.56 : 2,076.13 = 2,076.13 : x
  2. Step 2: Convert to fraction form
    1,343.56/2,076.13 = 2,076.13/x
  3. Step 3: Cross multiply
    1,343.56x = 2,076.13 × 2,076.13
  4. Step 4: Simplify right side
    1,343.56x = 4,310,295.02
  5. Step 5: Solve for x
    x = 4,310,295.02/1,343.56
  6. Step 6: Final answer
    x = 3,208.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.