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Finding the Third Proportional to 25,816 and 55,966

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Solution

The third proportional to 25,816 and 55,966 is: 121,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816 : 55,966 = 55,966 : x
  2. Step 2: Convert to fraction form
    25,816/55,966 = 55,966/x
  3. Step 3: Cross multiply
    25,816x = 55,966 × 55,966
  4. Step 4: Simplify right side
    25,816x = 3,132,193,156
  5. Step 5: Solve for x
    x = 3,132,193,156/25,816
  6. Step 6: Final answer
    x = 121,327.59

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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.