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Finding the Third Proportional to 25,998 and 56,388

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Solution

The third proportional to 25,998 and 56,388 is: 122,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998 : 56,388 = 56,388 : x
  2. Step 2: Convert to fraction form
    25,998/56,388 = 56,388/x
  3. Step 3: Cross multiply
    25,998x = 56,388 × 56,388
  4. Step 4: Simplify right side
    25,998x = 3,179,606,544
  5. Step 5: Solve for x
    x = 3,179,606,544/25,998
  6. Step 6: Final answer
    x = 122,301.97

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