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Finding the Third Proportional to 5,000 and 7,652

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Solution

The third proportional to 5,000 and 7,652 is: 11,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000 : 7,652 = 7,652 : x
  2. Step 2: Convert to fraction form
    5,000/7,652 = 7,652/x
  3. Step 3: Cross multiply
    5,000x = 7,652 × 7,652
  4. Step 4: Simplify right side
    5,000x = 58,553,104
  5. Step 5: Solve for x
    x = 58,553,104/5,000
  6. Step 6: Final answer
    x = 11,710.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.