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Finding the Third Proportional to 22,263.75 and 31,891.50

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Solution

The third proportional to 22,263.75 and 31,891.50 is: 45,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263.75 : 31,891.50 = 31,891.50 : x
  2. Step 2: Convert to fraction form
    22,263.75/31,891.50 = 31,891.50/x
  3. Step 3: Cross multiply
    22,263.75x = 31,891.50 × 31,891.50
  4. Step 4: Simplify right side
    22,263.75x = 1,017,067,772.25
  5. Step 5: Solve for x
    x = 1,017,067,772.25/22,263.75
  6. Step 6: Final answer
    x = 45,682.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.