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Finding the Third Proportional to 7,330 and 14,293

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Solution

The third proportional to 7,330 and 14,293 is: 27,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330 : 14,293 = 14,293 : x
  2. Step 2: Convert to fraction form
    7,330/14,293 = 14,293/x
  3. Step 3: Cross multiply
    7,330x = 14,293 × 14,293
  4. Step 4: Simplify right side
    7,330x = 204,289,849
  5. Step 5: Solve for x
    x = 204,289,849/7,330
  6. Step 6: Final answer
    x = 27,870.38

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.