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Finding the Third Proportional to 3,373 and 8,156.50

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Solution

The third proportional to 3,373 and 8,156.50 is: 19,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,373 : 8,156.50 = 8,156.50 : x
  2. Step 2: Convert to fraction form
    3,373/8,156.50 = 8,156.50/x
  3. Step 3: Cross multiply
    3,373x = 8,156.50 × 8,156.50
  4. Step 4: Simplify right side
    3,373x = 66,528,492.25
  5. Step 5: Solve for x
    x = 66,528,492.25/3,373
  6. Step 6: Final answer
    x = 19,723.83

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.