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Finding the Third Proportional to 7.77 and 11.43

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Solution

The third proportional to 7.77 and 11.43 is: 16.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.77 : 11.43 = 11.43 : x
  2. Step 2: Convert to fraction form
    7.77/11.43 = 11.43/x
  3. Step 3: Cross multiply
    7.77x = 11.43 × 11.43
  4. Step 4: Simplify right side
    7.77x = 130.55
  5. Step 5: Solve for x
    x = 130.55/7.77
  6. Step 6: Final answer
    x = 16.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.