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Finding the Third Proportional to 5,071 and 5,827

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Solution

The third proportional to 5,071 and 5,827 is: 6,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071 : 5,827 = 5,827 : x
  2. Step 2: Convert to fraction form
    5,071/5,827 = 5,827/x
  3. Step 3: Cross multiply
    5,071x = 5,827 × 5,827
  4. Step 4: Simplify right side
    5,071x = 33,953,929
  5. Step 5: Solve for x
    x = 33,953,929/5,071
  6. Step 6: Final answer
    x = 6,695.71

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.