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Finding the Third Proportional to 5,401.69 and 10,509.75

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Solution

The third proportional to 5,401.69 and 10,509.75 is: 20,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.69 : 10,509.75 = 10,509.75 : x
  2. Step 2: Convert to fraction form
    5,401.69/10,509.75 = 10,509.75/x
  3. Step 3: Cross multiply
    5,401.69x = 10,509.75 × 10,509.75
  4. Step 4: Simplify right side
    5,401.69x = 110,454,845.06
  5. Step 5: Solve for x
    x = 110,454,845.06/5,401.69
  6. Step 6: Final answer
    x = 20,448.21

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.