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Finding the Third Proportional to 21,067 and 48,647.50

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Solution

The third proportional to 21,067 and 48,647.50 is: 112,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,067 : 48,647.50 = 48,647.50 : x
  2. Step 2: Convert to fraction form
    21,067/48,647.50 = 48,647.50/x
  3. Step 3: Cross multiply
    21,067x = 48,647.50 × 48,647.50
  4. Step 4: Simplify right side
    21,067x = 2,366,579,256.25
  5. Step 5: Solve for x
    x = 2,366,579,256.25/21,067
  6. Step 6: Final answer
    x = 112,335.85

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.