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Finding the Third Proportional to 24.68 and 53.37

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Solution

The third proportional to 24.68 and 53.37 is: 115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.68 : 53.37 = 53.37 : x
  2. Step 2: Convert to fraction form
    24.68/53.37 = 53.37/x
  3. Step 3: Cross multiply
    24.68x = 53.37 × 53.37
  4. Step 4: Simplify right side
    24.68x = 2,848.06
  5. Step 5: Solve for x
    x = 2,848.06/24.68
  6. Step 6: Final answer
    x = 115.40

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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.