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Finding the Third Proportional to 3,069 and 5,685.75

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Solution

The third proportional to 3,069 and 5,685.75 is: 10,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069 : 5,685.75 = 5,685.75 : x
  2. Step 2: Convert to fraction form
    3,069/5,685.75 = 5,685.75/x
  3. Step 3: Cross multiply
    3,069x = 5,685.75 × 5,685.75
  4. Step 4: Simplify right side
    3,069x = 32,327,753.06
  5. Step 5: Solve for x
    x = 32,327,753.06/3,069
  6. Step 6: Final answer
    x = 10,533.64

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.