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Finding the Third Proportional to 21,846 and 46,878

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Solution

The third proportional to 21,846 and 46,878 is: 100,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846 : 46,878 = 46,878 : x
  2. Step 2: Convert to fraction form
    21,846/46,878 = 46,878/x
  3. Step 3: Cross multiply
    21,846x = 46,878 × 46,878
  4. Step 4: Simplify right side
    21,846x = 2,197,546,884
  5. Step 5: Solve for x
    x = 2,197,546,884/21,846
  6. Step 6: Final answer
    x = 100,592.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.