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Finding the Third Proportional to 3,072.94 and 7,624.13

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Solution

The third proportional to 3,072.94 and 7,624.13 is: 18,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.94 : 7,624.13 = 7,624.13 : x
  2. Step 2: Convert to fraction form
    3,072.94/7,624.13 = 7,624.13/x
  3. Step 3: Cross multiply
    3,072.94x = 7,624.13 × 7,624.13
  4. Step 4: Simplify right side
    3,072.94x = 58,127,282.02
  5. Step 5: Solve for x
    x = 58,127,282.02/3,072.94
  6. Step 6: Final answer
    x = 18,915.87

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.