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Finding the Third Proportional to 23.03 and 49.29

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Solution

The third proportional to 23.03 and 49.29 is: 105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.03 : 49.29 = 49.29 : x
  2. Step 2: Convert to fraction form
    23.03/49.29 = 49.29/x
  3. Step 3: Cross multiply
    23.03x = 49.29 × 49.29
  4. Step 4: Simplify right side
    23.03x = 2,429.41
  5. Step 5: Solve for x
    x = 2,429.41/23.03
  6. Step 6: Final answer
    x = 105.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.