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Finding the Third Proportional to 5.34 and 7.88

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Solution

The third proportional to 5.34 and 7.88 is: 11.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.34 : 7.88 = 7.88 : x
  2. Step 2: Convert to fraction form
    5.34/7.88 = 7.88/x
  3. Step 3: Cross multiply
    5.34x = 7.88 × 7.88
  4. Step 4: Simplify right side
    5.34x = 62.02
  5. Step 5: Solve for x
    x = 62.02/5.34
  6. Step 6: Final answer
    x = 11.61

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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.