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Finding the Third Proportional to 6,069 and 13,168.50

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Solution

The third proportional to 6,069 and 13,168.50 is: 28,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069 : 13,168.50 = 13,168.50 : x
  2. Step 2: Convert to fraction form
    6,069/13,168.50 = 13,168.50/x
  3. Step 3: Cross multiply
    6,069x = 13,168.50 × 13,168.50
  4. Step 4: Simplify right side
    6,069x = 173,409,392.25
  5. Step 5: Solve for x
    x = 173,409,392.25/6,069
  6. Step 6: Final answer
    x = 28,572.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.