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Finding the Third Proportional to 25,161 and 52,770

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Solution

The third proportional to 25,161 and 52,770 is: 110,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,161 : 52,770 = 52,770 : x
  2. Step 2: Convert to fraction form
    25,161/52,770 = 52,770/x
  3. Step 3: Cross multiply
    25,161x = 52,770 × 52,770
  4. Step 4: Simplify right side
    25,161x = 2,784,672,900
  5. Step 5: Solve for x
    x = 2,784,672,900/25,161
  6. Step 6: Final answer
    x = 110,674.17

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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.