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Finding the Third Proportional to 4.63 and 6.02

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Solution

The third proportional to 4.63 and 6.02 is: 7.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.63 : 6.02 = 6.02 : x
  2. Step 2: Convert to fraction form
    4.63/6.02 = 6.02/x
  3. Step 3: Cross multiply
    4.63x = 6.02 × 6.02
  4. Step 4: Simplify right side
    4.63x = 36.21
  5. Step 5: Solve for x
    x = 36.21/4.63
  6. Step 6: Final answer
    x = 7.82

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.