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Finding the Third Proportional to 7,013 and 8,293

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Solution

The third proportional to 7,013 and 8,293 is: 9,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013 : 8,293 = 8,293 : x
  2. Step 2: Convert to fraction form
    7,013/8,293 = 8,293/x
  3. Step 3: Cross multiply
    7,013x = 8,293 × 8,293
  4. Step 4: Simplify right side
    7,013x = 68,773,849
  5. Step 5: Solve for x
    x = 68,773,849/7,013
  6. Step 6: Final answer
    x = 9,806.62

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.