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Finding the Third Proportional to 4,189.50 and 4,609.13

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Solution

The third proportional to 4,189.50 and 4,609.13 is: 5,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.50 : 4,609.13 = 4,609.13 : x
  2. Step 2: Convert to fraction form
    4,189.50/4,609.13 = 4,609.13/x
  3. Step 3: Cross multiply
    4,189.50x = 4,609.13 × 4,609.13
  4. Step 4: Simplify right side
    4,189.50x = 21,244,033.27
  5. Step 5: Solve for x
    x = 21,244,033.27/4,189.50
  6. Step 6: Final answer
    x = 5,070.78

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.