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Finding the Third Proportional to 5.30 and 6.06

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Solution

The third proportional to 5.30 and 6.06 is: 6.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.30 : 6.06 = 6.06 : x
  2. Step 2: Convert to fraction form
    5.30/6.06 = 6.06/x
  3. Step 3: Cross multiply
    5.30x = 6.06 × 6.06
  4. Step 4: Simplify right side
    5.30x = 36.78
  5. Step 5: Solve for x
    x = 36.78/5.30
  6. Step 6: Final answer
    x = 6.94

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.