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Finding the Third Proportional to 5,434 and 7,771

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Solution

The third proportional to 5,434 and 7,771 is: 11,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434 : 7,771 = 7,771 : x
  2. Step 2: Convert to fraction form
    5,434/7,771 = 7,771/x
  3. Step 3: Cross multiply
    5,434x = 7,771 × 7,771
  4. Step 4: Simplify right side
    5,434x = 60,388,441
  5. Step 5: Solve for x
    x = 60,388,441/5,434
  6. Step 6: Final answer
    x = 11,113.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.