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Finding the Third Proportional to 3,414.66 and 5,006.81

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Solution

The third proportional to 3,414.66 and 5,006.81 is: 7,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.66 : 5,006.81 = 5,006.81 : x
  2. Step 2: Convert to fraction form
    3,414.66/5,006.81 = 5,006.81/x
  3. Step 3: Cross multiply
    3,414.66x = 5,006.81 × 5,006.81
  4. Step 4: Simplify right side
    3,414.66x = 25,068,171.41
  5. Step 5: Solve for x
    x = 25,068,171.41/3,414.66
  6. Step 6: Final answer
    x = 7,341.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.