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Finding the Third Proportional to 4,474.81 and 6,830.06

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Solution

The third proportional to 4,474.81 and 6,830.06 is: 10,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.81 : 6,830.06 = 6,830.06 : x
  2. Step 2: Convert to fraction form
    4,474.81/6,830.06 = 6,830.06/x
  3. Step 3: Cross multiply
    4,474.81x = 6,830.06 × 6,830.06
  4. Step 4: Simplify right side
    4,474.81x = 46,649,753.75
  5. Step 5: Solve for x
    x = 46,649,753.75/4,474.81
  6. Step 6: Final answer
    x = 10,424.96

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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.