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Finding the Third Proportional to 1,711.13 and 2,424.09

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Solution

The third proportional to 1,711.13 and 2,424.09 is: 3,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.13 : 2,424.09 = 2,424.09 : x
  2. Step 2: Convert to fraction form
    1,711.13/2,424.09 = 2,424.09/x
  3. Step 3: Cross multiply
    1,711.13x = 2,424.09 × 2,424.09
  4. Step 4: Simplify right side
    1,711.13x = 5,876,230.51
  5. Step 5: Solve for x
    x = 5,876,230.51/1,711.13
  6. Step 6: Final answer
    x = 3,434.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.