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Finding the Third Proportional to 16,439 and 25,754

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Solution

The third proportional to 16,439 and 25,754 is: 40,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439 : 25,754 = 25,754 : x
  2. Step 2: Convert to fraction form
    16,439/25,754 = 25,754/x
  3. Step 3: Cross multiply
    16,439x = 25,754 × 25,754
  4. Step 4: Simplify right side
    16,439x = 663,268,516
  5. Step 5: Solve for x
    x = 663,268,516/16,439
  6. Step 6: Final answer
    x = 40,347.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.