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Finding the Third Proportional to 4,095.56 and 6,269.91

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Solution

The third proportional to 4,095.56 and 6,269.91 is: 9,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.56 : 6,269.91 = 6,269.91 : x
  2. Step 2: Convert to fraction form
    4,095.56/6,269.91 = 6,269.91/x
  3. Step 3: Cross multiply
    4,095.56x = 6,269.91 × 6,269.91
  4. Step 4: Simplify right side
    4,095.56x = 39,311,724.38
  5. Step 5: Solve for x
    x = 39,311,724.38/4,095.56
  6. Step 6: Final answer
    x = 9,598.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.