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Finding the Third Proportional to 48.65 and 106.43

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Solution

The third proportional to 48.65 and 106.43 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.65 : 106.43 = 106.43 : x
  2. Step 2: Convert to fraction form
    48.65/106.43 = 106.43/x
  3. Step 3: Cross multiply
    48.65x = 106.43 × 106.43
  4. Step 4: Simplify right side
    48.65x = 11,327.59
  5. Step 5: Solve for x
    x = 11,327.59/48.65
  6. Step 6: Final answer
    x = 232.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.