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Finding the Third Proportional to 1,581 and 2,781

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Solution

The third proportional to 1,581 and 2,781 is: 4,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581 : 2,781 = 2,781 : x
  2. Step 2: Convert to fraction form
    1,581/2,781 = 2,781/x
  3. Step 3: Cross multiply
    1,581x = 2,781 × 2,781
  4. Step 4: Simplify right side
    1,581x = 7,733,961
  5. Step 5: Solve for x
    x = 7,733,961/1,581
  6. Step 6: Final answer
    x = 4,891.82

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.