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Finding the Third Proportional to 7.90 and 13.49

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Solution

The third proportional to 7.90 and 13.49 is: 23.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.90 : 13.49 = 13.49 : x
  2. Step 2: Convert to fraction form
    7.90/13.49 = 13.49/x
  3. Step 3: Cross multiply
    7.90x = 13.49 × 13.49
  4. Step 4: Simplify right side
    7.90x = 181.86
  5. Step 5: Solve for x
    x = 181.86/7.90
  6. Step 6: Final answer
    x = 23.02

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.