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Finding the Third Proportional to 15,887 and 33,925

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Solution

The third proportional to 15,887 and 33,925 is: 72,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887 : 33,925 = 33,925 : x
  2. Step 2: Convert to fraction form
    15,887/33,925 = 33,925/x
  3. Step 3: Cross multiply
    15,887x = 33,925 × 33,925
  4. Step 4: Simplify right side
    15,887x = 1,150,905,625
  5. Step 5: Solve for x
    x = 1,150,905,625/15,887
  6. Step 6: Final answer
    x = 72,443.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.