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Finding the Third Proportional to 4.07 and 9.74

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Solution

The third proportional to 4.07 and 9.74 is: 23.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.07 : 9.74 = 9.74 : x
  2. Step 2: Convert to fraction form
    4.07/9.74 = 9.74/x
  3. Step 3: Cross multiply
    4.07x = 9.74 × 9.74
  4. Step 4: Simplify right side
    4.07x = 94.95
  5. Step 5: Solve for x
    x = 94.95/4.07
  6. Step 6: Final answer
    x = 23.32

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.