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Finding the Third Proportional to 6.61 and 14.48

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Solution

The third proportional to 6.61 and 14.48 is: 31.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.61 : 14.48 = 14.48 : x
  2. Step 2: Convert to fraction form
    6.61/14.48 = 14.48/x
  3. Step 3: Cross multiply
    6.61x = 14.48 × 14.48
  4. Step 4: Simplify right side
    6.61x = 209.80
  5. Step 5: Solve for x
    x = 209.80/6.61
  6. Step 6: Final answer
    x = 31.74

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.