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Finding the Third Proportional to 2,812.22 and 6,013.69

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Solution

The third proportional to 2,812.22 and 6,013.69 is: 12,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.22 : 6,013.69 = 6,013.69 : x
  2. Step 2: Convert to fraction form
    2,812.22/6,013.69 = 6,013.69/x
  3. Step 3: Cross multiply
    2,812.22x = 6,013.69 × 6,013.69
  4. Step 4: Simplify right side
    2,812.22x = 36,164,437.35
  5. Step 5: Solve for x
    x = 36,164,437.35/2,812.22
  6. Step 6: Final answer
    x = 12,859.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.