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Finding the Third Proportional to 5,069 and 8,292

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Solution

The third proportional to 5,069 and 8,292 is: 13,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069 : 8,292 = 8,292 : x
  2. Step 2: Convert to fraction form
    5,069/8,292 = 8,292/x
  3. Step 3: Cross multiply
    5,069x = 8,292 × 8,292
  4. Step 4: Simplify right side
    5,069x = 68,757,264
  5. Step 5: Solve for x
    x = 68,757,264/5,069
  6. Step 6: Final answer
    x = 13,564.27

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.