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Finding the Third Proportional to 4.62 and 7.51

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Solution

The third proportional to 4.62 and 7.51 is: 12.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.62 : 7.51 = 7.51 : x
  2. Step 2: Convert to fraction form
    4.62/7.51 = 7.51/x
  3. Step 3: Cross multiply
    4.62x = 7.51 × 7.51
  4. Step 4: Simplify right side
    4.62x = 56.45
  5. Step 5: Solve for x
    x = 56.45/4.62
  6. Step 6: Final answer
    x = 12.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.