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Finding the Third Proportional to 1,711.23 and 2,642.41

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Solution

The third proportional to 1,711.23 and 2,642.41 is: 4,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.23 : 2,642.41 = 2,642.41 : x
  2. Step 2: Convert to fraction form
    1,711.23/2,642.41 = 2,642.41/x
  3. Step 3: Cross multiply
    1,711.23x = 2,642.41 × 2,642.41
  4. Step 4: Simplify right side
    1,711.23x = 6,982,352.08
  5. Step 5: Solve for x
    x = 6,982,352.08/1,711.23
  6. Step 6: Final answer
    x = 4,080.31

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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.