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Finding the Third Proportional to 10,812 and 16,061

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Solution

The third proportional to 10,812 and 16,061 is: 23,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812 : 16,061 = 16,061 : x
  2. Step 2: Convert to fraction form
    10,812/16,061 = 16,061/x
  3. Step 3: Cross multiply
    10,812x = 16,061 × 16,061
  4. Step 4: Simplify right side
    10,812x = 257,955,721
  5. Step 5: Solve for x
    x = 257,955,721/10,812
  6. Step 6: Final answer
    x = 23,858.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.