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Finding the Third Proportional to 2,780.44 and 6,004.69

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Solution

The third proportional to 2,780.44 and 6,004.69 is: 12,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.44 : 6,004.69 = 6,004.69 : x
  2. Step 2: Convert to fraction form
    2,780.44/6,004.69 = 6,004.69/x
  3. Step 3: Cross multiply
    2,780.44x = 6,004.69 × 6,004.69
  4. Step 4: Simplify right side
    2,780.44x = 36,056,271.97
  5. Step 5: Solve for x
    x = 36,056,271.97/2,780.44
  6. Step 6: Final answer
    x = 12,967.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.