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Finding the Third Proportional to 25,740 and 55,908

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Solution

The third proportional to 25,740 and 55,908 is: 121,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,740 : 55,908 = 55,908 : x
  2. Step 2: Convert to fraction form
    25,740/55,908 = 55,908/x
  3. Step 3: Cross multiply
    25,740x = 55,908 × 55,908
  4. Step 4: Simplify right side
    25,740x = 3,125,704,464
  5. Step 5: Solve for x
    x = 3,125,704,464/25,740
  6. Step 6: Final answer
    x = 121,433.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.