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Finding the Third Proportional to 7.01 and 14.57

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Solution

The third proportional to 7.01 and 14.57 is: 30.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.01 : 14.57 = 14.57 : x
  2. Step 2: Convert to fraction form
    7.01/14.57 = 14.57/x
  3. Step 3: Cross multiply
    7.01x = 14.57 × 14.57
  4. Step 4: Simplify right side
    7.01x = 212.35
  5. Step 5: Solve for x
    x = 212.35/7.01
  6. Step 6: Final answer
    x = 30.28

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 (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.