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Finding the Third Proportional to 6,140.81 and 9,450.42

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Solution

The third proportional to 6,140.81 and 9,450.42 is: 14,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.81 : 9,450.42 = 9,450.42 : x
  2. Step 2: Convert to fraction form
    6,140.81/9,450.42 = 9,450.42/x
  3. Step 3: Cross multiply
    6,140.81x = 9,450.42 × 9,450.42
  4. Step 4: Simplify right side
    6,140.81x = 89,310,473.62
  5. Step 5: Solve for x
    x = 89,310,473.62/6,140.81
  6. Step 6: Final answer
    x = 14,543.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.