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Finding the Third Proportional to 9.74 and 22.92

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Solution

The third proportional to 9.74 and 22.92 is: 53.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.74 : 22.92 = 22.92 : x
  2. Step 2: Convert to fraction form
    9.74/22.92 = 22.92/x
  3. Step 3: Cross multiply
    9.74x = 22.92 × 22.92
  4. Step 4: Simplify right side
    9.74x = 525.41
  5. Step 5: Solve for x
    x = 525.41/9.74
  6. Step 6: Final answer
    x = 53.95

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.