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Finding the Third Proportional to 4.74 and 12.32

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Solution

The third proportional to 4.74 and 12.32 is: 32.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.74 : 12.32 = 12.32 : x
  2. Step 2: Convert to fraction form
    4.74/12.32 = 12.32/x
  3. Step 3: Cross multiply
    4.74x = 12.32 × 12.32
  4. Step 4: Simplify right side
    4.74x = 151.89
  5. Step 5: Solve for x
    x = 151.89/4.74
  6. Step 6: Final answer
    x = 32.01

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.