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Finding the Third Proportional to 2,289.52 and 3,069.77

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Solution

The third proportional to 2,289.52 and 3,069.77 is: 4,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.52 : 3,069.77 = 3,069.77 : x
  2. Step 2: Convert to fraction form
    2,289.52/3,069.77 = 3,069.77/x
  3. Step 3: Cross multiply
    2,289.52x = 3,069.77 × 3,069.77
  4. Step 4: Simplify right side
    2,289.52x = 9,423,508.96
  5. Step 5: Solve for x
    x = 9,423,508.96/2,289.52
  6. Step 6: Final answer
    x = 4,115.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.