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Finding the Third Proportional to 28,357 and 40,591.50

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Solution

The third proportional to 28,357 and 40,591.50 is: 58,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,357 : 40,591.50 = 40,591.50 : x
  2. Step 2: Convert to fraction form
    28,357/40,591.50 = 40,591.50/x
  3. Step 3: Cross multiply
    28,357x = 40,591.50 × 40,591.50
  4. Step 4: Simplify right side
    28,357x = 1,647,669,872.25
  5. Step 5: Solve for x
    x = 1,647,669,872.25/28,357
  6. Step 6: Final answer
    x = 58,104.52

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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.