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Finding the Third Proportional to 17,284 and 36,306.50

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Solution

The third proportional to 17,284 and 36,306.50 is: 76,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284 : 36,306.50 = 36,306.50 : x
  2. Step 2: Convert to fraction form
    17,284/36,306.50 = 36,306.50/x
  3. Step 3: Cross multiply
    17,284x = 36,306.50 × 36,306.50
  4. Step 4: Simplify right side
    17,284x = 1,318,161,942.25
  5. Step 5: Solve for x
    x = 1,318,161,942.25/17,284
  6. Step 6: Final answer
    x = 76,264.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.