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Finding the Third Proportional to 4,760.50 and 10,253

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Solution

The third proportional to 4,760.50 and 10,253 is: 22,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.50 : 10,253 = 10,253 : x
  2. Step 2: Convert to fraction form
    4,760.50/10,253 = 10,253/x
  3. Step 3: Cross multiply
    4,760.50x = 10,253 × 10,253
  4. Step 4: Simplify right side
    4,760.50x = 105,124,009
  5. Step 5: Solve for x
    x = 105,124,009/4,760.50
  6. Step 6: Final answer
    x = 22,082.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.