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Finding the Third Proportional to 5.76 and 7.90

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Solution

The third proportional to 5.76 and 7.90 is: 10.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.76 : 7.90 = 7.90 : x
  2. Step 2: Convert to fraction form
    5.76/7.90 = 7.90/x
  3. Step 3: Cross multiply
    5.76x = 7.90 × 7.90
  4. Step 4: Simplify right side
    5.76x = 62.42
  5. Step 5: Solve for x
    x = 62.42/5.76
  6. Step 6: Final answer
    x = 10.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.