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Finding the Third Proportional to 3,042.56 and 4,574.81

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Solution

The third proportional to 3,042.56 and 4,574.81 is: 6,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.56 : 4,574.81 = 4,574.81 : x
  2. Step 2: Convert to fraction form
    3,042.56/4,574.81 = 4,574.81/x
  3. Step 3: Cross multiply
    3,042.56x = 4,574.81 × 4,574.81
  4. Step 4: Simplify right side
    3,042.56x = 20,928,909.41
  5. Step 5: Solve for x
    x = 20,928,909.41/3,042.56
  6. Step 6: Final answer
    x = 6,878.71

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Why These Related Problems?

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