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Finding the Third Proportional to 5,139.94 and 7,689.09

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Solution

The third proportional to 5,139.94 and 7,689.09 is: 11,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.94 : 7,689.09 = 7,689.09 : x
  2. Step 2: Convert to fraction form
    5,139.94/7,689.09 = 7,689.09/x
  3. Step 3: Cross multiply
    5,139.94x = 7,689.09 × 7,689.09
  4. Step 4: Simplify right side
    5,139.94x = 59,122,162.70
  5. Step 5: Solve for x
    x = 59,122,162.70/5,139.94
  6. Step 6: Final answer
    x = 11,502.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.