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Finding the Third Proportional to 25.92 and 56.68

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Solution

The third proportional to 25.92 and 56.68 is: 123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.92 : 56.68 = 56.68 : x
  2. Step 2: Convert to fraction form
    25.92/56.68 = 56.68/x
  3. Step 3: Cross multiply
    25.92x = 56.68 × 56.68
  4. Step 4: Simplify right side
    25.92x = 3,212.61
  5. Step 5: Solve for x
    x = 3,212.61/25.92
  6. Step 6: Final answer
    x = 123.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.