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Finding the Third Proportional to 3,980.32 and 8,434.76

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Solution

The third proportional to 3,980.32 and 8,434.76 is: 17,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.32 : 8,434.76 = 8,434.76 : x
  2. Step 2: Convert to fraction form
    3,980.32/8,434.76 = 8,434.76/x
  3. Step 3: Cross multiply
    3,980.32x = 8,434.76 × 8,434.76
  4. Step 4: Simplify right side
    3,980.32x = 71,145,139.36
  5. Step 5: Solve for x
    x = 71,145,139.36/3,980.32
  6. Step 6: Final answer
    x = 17,874.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.