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Finding the Third Proportional to 16,125.50 and 37,943.75

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Solution

The third proportional to 16,125.50 and 37,943.75 is: 89,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.50 : 37,943.75 = 37,943.75 : x
  2. Step 2: Convert to fraction form
    16,125.50/37,943.75 = 37,943.75/x
  3. Step 3: Cross multiply
    16,125.50x = 37,943.75 × 37,943.75
  4. Step 4: Simplify right side
    16,125.50x = 1,439,728,164.06
  5. Step 5: Solve for x
    x = 1,439,728,164.06/16,125.50
  6. Step 6: Final answer
    x = 89,282.70

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.