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Finding the Third Proportional to 2,832.47 and 6,073.10

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Solution

The third proportional to 2,832.47 and 6,073.10 is: 13,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.47 : 6,073.10 = 6,073.10 : x
  2. Step 2: Convert to fraction form
    2,832.47/6,073.10 = 6,073.10/x
  3. Step 3: Cross multiply
    2,832.47x = 6,073.10 × 6,073.10
  4. Step 4: Simplify right side
    2,832.47x = 36,882,562.59
  5. Step 5: Solve for x
    x = 36,882,562.59/2,832.47
  6. Step 6: Final answer
    x = 13,021.35

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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.