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Finding the Third Proportional to 4.59 and 7.12

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Solution

The third proportional to 4.59 and 7.12 is: 11.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.59 : 7.12 = 7.12 : x
  2. Step 2: Convert to fraction form
    4.59/7.12 = 7.12/x
  3. Step 3: Cross multiply
    4.59x = 7.12 × 7.12
  4. Step 4: Simplify right side
    4.59x = 50.68
  5. Step 5: Solve for x
    x = 50.68/4.59
  6. Step 6: Final answer
    x = 11.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.