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Finding the Third Proportional to 7,401 and 15,220.50

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Solution

The third proportional to 7,401 and 15,220.50 is: 31,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401 : 15,220.50 = 15,220.50 : x
  2. Step 2: Convert to fraction form
    7,401/15,220.50 = 15,220.50/x
  3. Step 3: Cross multiply
    7,401x = 15,220.50 × 15,220.50
  4. Step 4: Simplify right side
    7,401x = 231,663,620.25
  5. Step 5: Solve for x
    x = 231,663,620.25/7,401
  6. Step 6: Final answer
    x = 31,301.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.