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Finding the Third Proportional to 2,885.39 and 6,265.20

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Solution

The third proportional to 2,885.39 and 6,265.20 is: 13,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.39 : 6,265.20 = 6,265.20 : x
  2. Step 2: Convert to fraction form
    2,885.39/6,265.20 = 6,265.20/x
  3. Step 3: Cross multiply
    2,885.39x = 6,265.20 × 6,265.20
  4. Step 4: Simplify right side
    2,885.39x = 39,252,727.37
  5. Step 5: Solve for x
    x = 39,252,727.37/2,885.39
  6. Step 6: Final answer
    x = 13,603.97

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Why These Related Problems?

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