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Finding the Third Proportional to 7,425 and 10,225.50

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Solution

The third proportional to 7,425 and 10,225.50 is: 14,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425 : 10,225.50 = 10,225.50 : x
  2. Step 2: Convert to fraction form
    7,425/10,225.50 = 10,225.50/x
  3. Step 3: Cross multiply
    7,425x = 10,225.50 × 10,225.50
  4. Step 4: Simplify right side
    7,425x = 104,560,850.25
  5. Step 5: Solve for x
    x = 104,560,850.25/7,425
  6. Step 6: Final answer
    x = 14,082.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.