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Finding the Third Proportional to 24.83 and 53.26

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Solution

The third proportional to 24.83 and 53.26 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.83 : 53.26 = 53.26 : x
  2. Step 2: Convert to fraction form
    24.83/53.26 = 53.26/x
  3. Step 3: Cross multiply
    24.83x = 53.26 × 53.26
  4. Step 4: Simplify right side
    24.83x = 2,836.64
  5. Step 5: Solve for x
    x = 2,836.64/24.83
  6. Step 6: Final answer
    x = 114.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.