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Finding the Third Proportional to 21.75 and 52.83

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Solution

The third proportional to 21.75 and 52.83 is: 128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.75 : 52.83 = 52.83 : x
  2. Step 2: Convert to fraction form
    21.75/52.83 = 52.83/x
  3. Step 3: Cross multiply
    21.75x = 52.83 × 52.83
  4. Step 4: Simplify right side
    21.75x = 2,790.81
  5. Step 5: Solve for x
    x = 2,790.81/21.75
  6. Step 6: Final answer
    x = 128.31

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.