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Finding the Third Proportional to 4,173.19 and 5,104.69

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Solution

The third proportional to 4,173.19 and 5,104.69 is: 6,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.19 : 5,104.69 = 5,104.69 : x
  2. Step 2: Convert to fraction form
    4,173.19/5,104.69 = 5,104.69/x
  3. Step 3: Cross multiply
    4,173.19x = 5,104.69 × 5,104.69
  4. Step 4: Simplify right side
    4,173.19x = 26,057,834.47
  5. Step 5: Solve for x
    x = 26,057,834.47/4,173.19
  6. Step 6: Final answer
    x = 6,244.11

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.