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Finding the Third Proportional to 3,434.63 and 5,217.19

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Solution

The third proportional to 3,434.63 and 5,217.19 is: 7,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.63 : 5,217.19 = 5,217.19 : x
  2. Step 2: Convert to fraction form
    3,434.63/5,217.19 = 5,217.19/x
  3. Step 3: Cross multiply
    3,434.63x = 5,217.19 × 5,217.19
  4. Step 4: Simplify right side
    3,434.63x = 27,219,045.41
  5. Step 5: Solve for x
    x = 27,219,045.41/3,434.63
  6. Step 6: Final answer
    x = 7,924.90

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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.