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Finding the Third Proportional to 1,042 and 2,741

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Solution

The third proportional to 1,042 and 2,741 is: 7,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042 : 2,741 = 2,741 : x
  2. Step 2: Convert to fraction form
    1,042/2,741 = 2,741/x
  3. Step 3: Cross multiply
    1,042x = 2,741 × 2,741
  4. Step 4: Simplify right side
    1,042x = 7,513,081
  5. Step 5: Solve for x
    x = 7,513,081/1,042
  6. Step 6: Final answer
    x = 7,210.25

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.