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Finding the Third Proportional to 6,069 and 10,287

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Solution

The third proportional to 6,069 and 10,287 is: 17,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069 : 10,287 = 10,287 : x
  2. Step 2: Convert to fraction form
    6,069/10,287 = 10,287/x
  3. Step 3: Cross multiply
    6,069x = 10,287 × 10,287
  4. Step 4: Simplify right side
    6,069x = 105,822,369
  5. Step 5: Solve for x
    x = 105,822,369/6,069
  6. Step 6: Final answer
    x = 17,436.54

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.