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Finding the Third Proportional to 24.94 and 35

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Solution

The third proportional to 24.94 and 35 is: 49.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.94 : 35 = 35 : x
  2. Step 2: Convert to fraction form
    24.94/35 = 35/x
  3. Step 3: Cross multiply
    24.94x = 35 × 35
  4. Step 4: Simplify right side
    24.94x = 1,225
  5. Step 5: Solve for x
    x = 1,225/24.94
  6. Step 6: Final answer
    x = 49.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.