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Finding the Third Proportional to 16,151 and 24,947

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Solution

The third proportional to 16,151 and 24,947 is: 38,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151 : 24,947 = 24,947 : x
  2. Step 2: Convert to fraction form
    16,151/24,947 = 24,947/x
  3. Step 3: Cross multiply
    16,151x = 24,947 × 24,947
  4. Step 4: Simplify right side
    16,151x = 622,352,809
  5. Step 5: Solve for x
    x = 622,352,809/16,151
  6. Step 6: Final answer
    x = 38,533.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.