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Finding the Third Proportional to 6.59 and 14.42

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Solution

The third proportional to 6.59 and 14.42 is: 31.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.59 : 14.42 = 14.42 : x
  2. Step 2: Convert to fraction form
    6.59/14.42 = 14.42/x
  3. Step 3: Cross multiply
    6.59x = 14.42 × 14.42
  4. Step 4: Simplify right side
    6.59x = 207.83
  5. Step 5: Solve for x
    x = 207.83/6.59
  6. Step 6: Final answer
    x = 31.56

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.