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Finding the Third Proportional to 2,829.94 and 6,047.16

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Solution

The third proportional to 2,829.94 and 6,047.16 is: 12,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.94 : 6,047.16 = 6,047.16 : x
  2. Step 2: Convert to fraction form
    2,829.94/6,047.16 = 6,047.16/x
  3. Step 3: Cross multiply
    2,829.94x = 6,047.16 × 6,047.16
  4. Step 4: Simplify right side
    2,829.94x = 36,568,098.71
  5. Step 5: Solve for x
    x = 36,568,098.71/2,829.94
  6. Step 6: Final answer
    x = 12,921.88

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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.