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Finding the Third Proportional to 5.02 and 9.41

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Solution

The third proportional to 5.02 and 9.41 is: 17.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.02 : 9.41 = 9.41 : x
  2. Step 2: Convert to fraction form
    5.02/9.41 = 9.41/x
  3. Step 3: Cross multiply
    5.02x = 9.41 × 9.41
  4. Step 4: Simplify right side
    5.02x = 88.51
  5. Step 5: Solve for x
    x = 88.51/5.02
  6. Step 6: Final answer
    x = 17.61

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.