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Finding the Third Proportional to 5,471 and 8,011

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Solution

The third proportional to 5,471 and 8,011 is: 11,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471 : 8,011 = 8,011 : x
  2. Step 2: Convert to fraction form
    5,471/8,011 = 8,011/x
  3. Step 3: Cross multiply
    5,471x = 8,011 × 8,011
  4. Step 4: Simplify right side
    5,471x = 64,176,121
  5. Step 5: Solve for x
    x = 64,176,121/5,471
  6. Step 6: Final answer
    x = 11,730.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.