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Finding the Third Proportional to 3,129.75 and 4,812.38

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Solution

The third proportional to 3,129.75 and 4,812.38 is: 7,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.75 : 4,812.38 = 4,812.38 : x
  2. Step 2: Convert to fraction form
    3,129.75/4,812.38 = 4,812.38/x
  3. Step 3: Cross multiply
    3,129.75x = 4,812.38 × 4,812.38
  4. Step 4: Simplify right side
    3,129.75x = 23,158,953.14
  5. Step 5: Solve for x
    x = 23,158,953.14/3,129.75
  6. Step 6: Final answer
    x = 7,399.62

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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.