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Finding the Third Proportional to 25,966 and 55,388

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Solution

The third proportional to 25,966 and 55,388 is: 118,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,966 : 55,388 = 55,388 : x
  2. Step 2: Convert to fraction form
    25,966/55,388 = 55,388/x
  3. Step 3: Cross multiply
    25,966x = 55,388 × 55,388
  4. Step 4: Simplify right side
    25,966x = 3,067,830,544
  5. Step 5: Solve for x
    x = 3,067,830,544/25,966
  6. Step 6: Final answer
    x = 118,147.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.