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Finding the Third Proportional to 5,766.75 and 10,401.75

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Solution

The third proportional to 5,766.75 and 10,401.75 is: 18,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.75 : 10,401.75 = 10,401.75 : x
  2. Step 2: Convert to fraction form
    5,766.75/10,401.75 = 10,401.75/x
  3. Step 3: Cross multiply
    5,766.75x = 10,401.75 × 10,401.75
  4. Step 4: Simplify right side
    5,766.75x = 108,196,403.06
  5. Step 5: Solve for x
    x = 108,196,403.06/5,766.75
  6. Step 6: Final answer
    x = 18,762.11

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.