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Finding the Third Proportional to 21.46 and 49.32

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Solution

The third proportional to 21.46 and 49.32 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.46 : 49.32 = 49.32 : x
  2. Step 2: Convert to fraction form
    21.46/49.32 = 49.32/x
  3. Step 3: Cross multiply
    21.46x = 49.32 × 49.32
  4. Step 4: Simplify right side
    21.46x = 2,432.33
  5. Step 5: Solve for x
    x = 2,432.33/21.46
  6. Step 6: Final answer
    x = 113.33

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.