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Finding the Third Proportional to 5,000 and 8,294

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Solution

The third proportional to 5,000 and 8,294 is: 13,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000 : 8,294 = 8,294 : x
  2. Step 2: Convert to fraction form
    5,000/8,294 = 8,294/x
  3. Step 3: Cross multiply
    5,000x = 8,294 × 8,294
  4. Step 4: Simplify right side
    5,000x = 68,790,436
  5. Step 5: Solve for x
    x = 68,790,436/5,000
  6. Step 6: Final answer
    x = 13,758.09

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.