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Finding the Third Proportional to 25.59 and 56.39

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Solution

The third proportional to 25.59 and 56.39 is: 124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.59 : 56.39 = 56.39 : x
  2. Step 2: Convert to fraction form
    25.59/56.39 = 56.39/x
  3. Step 3: Cross multiply
    25.59x = 56.39 × 56.39
  4. Step 4: Simplify right side
    25.59x = 3,179.90
  5. Step 5: Solve for x
    x = 3,179.90/25.59
  6. Step 6: Final answer
    x = 124.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.