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Finding the Third Proportional to 6.70 and 10.03

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Solution

The third proportional to 6.70 and 10.03 is: 15.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.70 : 10.03 = 10.03 : x
  2. Step 2: Convert to fraction form
    6.70/10.03 = 10.03/x
  3. Step 3: Cross multiply
    6.70x = 10.03 × 10.03
  4. Step 4: Simplify right side
    6.70x = 100.63
  5. Step 5: Solve for x
    x = 100.63/6.70
  6. Step 6: Final answer
    x = 15.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.