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Finding the Third Proportional to 3,007.13 and 4,516.38

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Solution

The third proportional to 3,007.13 and 4,516.38 is: 6,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.13 : 4,516.38 = 4,516.38 : x
  2. Step 2: Convert to fraction form
    3,007.13/4,516.38 = 4,516.38/x
  3. Step 3: Cross multiply
    3,007.13x = 4,516.38 × 4,516.38
  4. Step 4: Simplify right side
    3,007.13x = 20,397,713.71
  5. Step 5: Solve for x
    x = 20,397,713.71/3,007.13
  6. Step 6: Final answer
    x = 6,783.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.