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Finding the Third Proportional to 16,056 and 25,622

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Solution

The third proportional to 16,056 and 25,622 is: 40,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,056 : 25,622 = 25,622 : x
  2. Step 2: Convert to fraction form
    16,056/25,622 = 25,622/x
  3. Step 3: Cross multiply
    16,056x = 25,622 × 25,622
  4. Step 4: Simplify right side
    16,056x = 656,486,884
  5. Step 5: Solve for x
    x = 656,486,884/16,056
  6. Step 6: Final answer
    x = 40,887.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.