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Finding the Third Proportional to 5.34 and 7.06

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Solution

The third proportional to 5.34 and 7.06 is: 9.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.34 : 7.06 = 7.06 : x
  2. Step 2: Convert to fraction form
    5.34/7.06 = 7.06/x
  3. Step 3: Cross multiply
    5.34x = 7.06 × 7.06
  4. Step 4: Simplify right side
    5.34x = 49.84
  5. Step 5: Solve for x
    x = 49.84/5.34
  6. Step 6: Final answer
    x = 9.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.