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Finding the Third Proportional to 3,434.81 and 7,484.81

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Solution

The third proportional to 3,434.81 and 7,484.81 is: 16,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.81 : 7,484.81 = 7,484.81 : x
  2. Step 2: Convert to fraction form
    3,434.81/7,484.81 = 7,484.81/x
  3. Step 3: Cross multiply
    3,434.81x = 7,484.81 × 7,484.81
  4. Step 4: Simplify right side
    3,434.81x = 56,022,418.16
  5. Step 5: Solve for x
    x = 56,022,418.16/3,434.81
  6. Step 6: Final answer
    x = 16,310.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.