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Finding the Third Proportional to 25.43 and 53.86

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Solution

The third proportional to 25.43 and 53.86 is: 114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.43 : 53.86 = 53.86 : x
  2. Step 2: Convert to fraction form
    25.43/53.86 = 53.86/x
  3. Step 3: Cross multiply
    25.43x = 53.86 × 53.86
  4. Step 4: Simplify right side
    25.43x = 2,900.98
  5. Step 5: Solve for x
    x = 2,900.98/25.43
  6. Step 6: Final answer
    x = 114.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.