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Finding the Third Proportional to 25,222 and 52,982

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Solution

The third proportional to 25,222 and 52,982 is: 111,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222 : 52,982 = 52,982 : x
  2. Step 2: Convert to fraction form
    25,222/52,982 = 52,982/x
  3. Step 3: Cross multiply
    25,222x = 52,982 × 52,982
  4. Step 4: Simplify right side
    25,222x = 2,807,092,324
  5. Step 5: Solve for x
    x = 2,807,092,324/25,222
  6. Step 6: Final answer
    x = 111,295.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.