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Finding the Third Proportional to 4,084.88 and 6,492.38

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Solution

The third proportional to 4,084.88 and 6,492.38 is: 10,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.88 : 6,492.38 = 6,492.38 : x
  2. Step 2: Convert to fraction form
    4,084.88/6,492.38 = 6,492.38/x
  3. Step 3: Cross multiply
    4,084.88x = 6,492.38 × 6,492.38
  4. Step 4: Simplify right side
    4,084.88x = 42,150,933.14
  5. Step 5: Solve for x
    x = 42,150,933.14/4,084.88
  6. Step 6: Final answer
    x = 10,318.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.