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Finding the Third Proportional to 1,960.03 and 4,189.64

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Solution

The third proportional to 1,960.03 and 4,189.64 is: 8,955.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.03 : 4,189.64 = 4,189.64 : x
  2. Step 2: Convert to fraction form
    1,960.03/4,189.64 = 4,189.64/x
  3. Step 3: Cross multiply
    1,960.03x = 4,189.64 × 4,189.64
  4. Step 4: Simplify right side
    1,960.03x = 17,553,088.57
  5. Step 5: Solve for x
    x = 17,553,088.57/1,960.03
  6. Step 6: Final answer
    x = 8,955.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.