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Finding the Third Proportional to 2,700.70 and 5,833.41

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Solution

The third proportional to 2,700.70 and 5,833.41 is: 12,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.70 : 5,833.41 = 5,833.41 : x
  2. Step 2: Convert to fraction form
    2,700.70/5,833.41 = 5,833.41/x
  3. Step 3: Cross multiply
    2,700.70x = 5,833.41 × 5,833.41
  4. Step 4: Simplify right side
    2,700.70x = 34,028,628.48
  5. Step 5: Solve for x
    x = 34,028,628.48/2,700.70
  6. Step 6: Final answer
    x = 12,599.91

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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.