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Finding the Third Proportional to 7,606.50 and 16,338

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Solution

The third proportional to 7,606.50 and 16,338 is: 35,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.50 : 16,338 = 16,338 : x
  2. Step 2: Convert to fraction form
    7,606.50/16,338 = 16,338/x
  3. Step 3: Cross multiply
    7,606.50x = 16,338 × 16,338
  4. Step 4: Simplify right side
    7,606.50x = 266,930,244
  5. Step 5: Solve for x
    x = 266,930,244/7,606.50
  6. Step 6: Final answer
    x = 35,092.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.