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Finding the Third Proportional to 31,449 and 42,733.50

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Solution

The third proportional to 31,449 and 42,733.50 is: 58,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449 : 42,733.50 = 42,733.50 : x
  2. Step 2: Convert to fraction form
    31,449/42,733.50 = 42,733.50/x
  3. Step 3: Cross multiply
    31,449x = 42,733.50 × 42,733.50
  4. Step 4: Simplify right side
    31,449x = 1,826,152,022.25
  5. Step 5: Solve for x
    x = 1,826,152,022.25/31,449
  6. Step 6: Final answer
    x = 58,067.09

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.