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Finding the Third Proportional to 48.66 and 112.36

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Solution

The third proportional to 48.66 and 112.36 is: 259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.66 : 112.36 = 112.36 : x
  2. Step 2: Convert to fraction form
    48.66/112.36 = 112.36/x
  3. Step 3: Cross multiply
    48.66x = 112.36 × 112.36
  4. Step 4: Simplify right side
    48.66x = 12,624.63
  5. Step 5: Solve for x
    x = 12,624.63/48.66
  6. Step 6: Final answer
    x = 259.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.