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Finding the Third Proportional to 7,730.86 and 11,550.52

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Solution

The third proportional to 7,730.86 and 11,550.52 is: 17,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.86 : 11,550.52 = 11,550.52 : x
  2. Step 2: Convert to fraction form
    7,730.86/11,550.52 = 11,550.52/x
  3. Step 3: Cross multiply
    7,730.86x = 11,550.52 × 11,550.52
  4. Step 4: Simplify right side
    7,730.86x = 133,414,411.20
  5. Step 5: Solve for x
    x = 133,414,411.20/7,730.86
  6. Step 6: Final answer
    x = 17,257.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.