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Finding the Third Proportional to 4.98 and 48.41

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Solution

The third proportional to 4.98 and 48.41 is: 470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.98 : 48.41 = 48.41 : x
  2. Step 2: Convert to fraction form
    4.98/48.41 = 48.41/x
  3. Step 3: Cross multiply
    4.98x = 48.41 × 48.41
  4. Step 4: Simplify right side
    4.98x = 2,343.54
  5. Step 5: Solve for x
    x = 2,343.54/4.98
  6. Step 6: Final answer
    x = 470.27

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Why These Related Problems?

These problems maintain the same ratio (9.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.