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Finding the Third Proportional to 776 and 2,111

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Solution

The third proportional to 776 and 2,111 is: 5,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    776 : 2,111 = 2,111 : x
  2. Step 2: Convert to fraction form
    776/2,111 = 2,111/x
  3. Step 3: Cross multiply
    776x = 2,111 × 2,111
  4. Step 4: Simplify right side
    776x = 4,456,321
  5. Step 5: Solve for x
    x = 4,456,321/776
  6. Step 6: Final answer
    x = 5,742.68

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.