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Finding the Third Proportional to 25,942 and 56,908

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Solution

The third proportional to 25,942 and 56,908 is: 124,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,942 : 56,908 = 56,908 : x
  2. Step 2: Convert to fraction form
    25,942/56,908 = 56,908/x
  3. Step 3: Cross multiply
    25,942x = 56,908 × 56,908
  4. Step 4: Simplify right side
    25,942x = 3,238,520,464
  5. Step 5: Solve for x
    x = 3,238,520,464/25,942
  6. Step 6: Final answer
    x = 124,836.96

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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.