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Finding the Third Proportional to 4,269.59 and 6,415.77

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Solution

The third proportional to 4,269.59 and 6,415.77 is: 9,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.59 : 6,415.77 = 6,415.77 : x
  2. Step 2: Convert to fraction form
    4,269.59/6,415.77 = 6,415.77/x
  3. Step 3: Cross multiply
    4,269.59x = 6,415.77 × 6,415.77
  4. Step 4: Simplify right side
    4,269.59x = 41,162,098.68
  5. Step 5: Solve for x
    x = 41,162,098.68/4,269.59
  6. Step 6: Final answer
    x = 9,640.77

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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.