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Finding the Third Proportional to 4,661.50 and 7,229.50

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Solution

The third proportional to 4,661.50 and 7,229.50 is: 11,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.50 : 7,229.50 = 7,229.50 : x
  2. Step 2: Convert to fraction form
    4,661.50/7,229.50 = 7,229.50/x
  3. Step 3: Cross multiply
    4,661.50x = 7,229.50 × 7,229.50
  4. Step 4: Simplify right side
    4,661.50x = 52,265,670.25
  5. Step 5: Solve for x
    x = 52,265,670.25/4,661.50
  6. Step 6: Final answer
    x = 11,212.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.