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Finding the Third Proportional to 3,143.81 and 4,765.08

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Solution

The third proportional to 3,143.81 and 4,765.08 is: 7,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.81 : 4,765.08 = 4,765.08 : x
  2. Step 2: Convert to fraction form
    3,143.81/4,765.08 = 4,765.08/x
  3. Step 3: Cross multiply
    3,143.81x = 4,765.08 × 4,765.08
  4. Step 4: Simplify right side
    3,143.81x = 22,705,969.54
  5. Step 5: Solve for x
    x = 22,705,969.54/3,143.81
  6. Step 6: Final answer
    x = 7,222.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.