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Finding the Third Proportional to 10.35 and 13.70

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Solution

The third proportional to 10.35 and 13.70 is: 18.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.35 : 13.70 = 13.70 : x
  2. Step 2: Convert to fraction form
    10.35/13.70 = 13.70/x
  3. Step 3: Cross multiply
    10.35x = 13.70 × 13.70
  4. Step 4: Simplify right side
    10.35x = 187.68
  5. Step 5: Solve for x
    x = 187.68/10.35
  6. Step 6: Final answer
    x = 18.13

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1.5x scale

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.