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Finding the Third Proportional to 5,401.69 and 10,423.69

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Solution

The third proportional to 5,401.69 and 10,423.69 is: 20,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.69 : 10,423.69 = 10,423.69 : x
  2. Step 2: Convert to fraction form
    5,401.69/10,423.69 = 10,423.69/x
  3. Step 3: Cross multiply
    5,401.69x = 10,423.69 × 10,423.69
  4. Step 4: Simplify right side
    5,401.69x = 108,653,261.10
  5. Step 5: Solve for x
    x = 108,653,261.10/5,401.69
  6. Step 6: Final answer
    x = 20,114.69

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.