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Finding the Third Proportional to 5.34 and 7.65

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Solution

The third proportional to 5.34 and 7.65 is: 10.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.34 : 7.65 = 7.65 : x
  2. Step 2: Convert to fraction form
    5.34/7.65 = 7.65/x
  3. Step 3: Cross multiply
    5.34x = 7.65 × 7.65
  4. Step 4: Simplify right side
    5.34x = 58.57
  5. Step 5: Solve for x
    x = 58.57/5.34
  6. Step 6: Final answer
    x = 10.97

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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.