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Finding the Third Proportional to 23.06 and 49.78

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Solution

The third proportional to 23.06 and 49.78 is: 107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.06 : 49.78 = 49.78 : x
  2. Step 2: Convert to fraction form
    23.06/49.78 = 49.78/x
  3. Step 3: Cross multiply
    23.06x = 49.78 × 49.78
  4. Step 4: Simplify right side
    23.06x = 2,478.17
  5. Step 5: Solve for x
    x = 2,478.17/23.06
  6. Step 6: Final answer
    x = 107.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.