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Finding the Third Proportional to 4,785.75 and 10,401.75

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Solution

The third proportional to 4,785.75 and 10,401.75 is: 22,608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.75 : 10,401.75 = 10,401.75 : x
  2. Step 2: Convert to fraction form
    4,785.75/10,401.75 = 10,401.75/x
  3. Step 3: Cross multiply
    4,785.75x = 10,401.75 × 10,401.75
  4. Step 4: Simplify right side
    4,785.75x = 108,196,403.06
  5. Step 5: Solve for x
    x = 108,196,403.06/4,785.75
  6. Step 6: Final answer
    x = 22,608.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.