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Finding the Third Proportional to 5,133.38 and 7,689.94

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Solution

The third proportional to 5,133.38 and 7,689.94 is: 11,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.38 : 7,689.94 = 7,689.94 : x
  2. Step 2: Convert to fraction form
    5,133.38/7,689.94 = 7,689.94/x
  3. Step 3: Cross multiply
    5,133.38x = 7,689.94 × 7,689.94
  4. Step 4: Simplify right side
    5,133.38x = 59,135,138.75
  5. Step 5: Solve for x
    x = 59,135,138.75/5,133.38
  6. Step 6: Final answer
    x = 11,519.74

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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.