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Finding the Third Proportional to 10,033.50 and 14,906

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Solution

The third proportional to 10,033.50 and 14,906 is: 22,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.50 : 14,906 = 14,906 : x
  2. Step 2: Convert to fraction form
    10,033.50/14,906 = 14,906/x
  3. Step 3: Cross multiply
    10,033.50x = 14,906 × 14,906
  4. Step 4: Simplify right side
    10,033.50x = 222,188,836
  5. Step 5: Solve for x
    x = 222,188,836/10,033.50
  6. Step 6: Final answer
    x = 22,144.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.