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Finding the Third Proportional to 7,177 and 15,222.75

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Solution

The third proportional to 7,177 and 15,222.75 is: 32,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177 : 15,222.75 = 15,222.75 : x
  2. Step 2: Convert to fraction form
    7,177/15,222.75 = 15,222.75/x
  3. Step 3: Cross multiply
    7,177x = 15,222.75 × 15,222.75
  4. Step 4: Simplify right side
    7,177x = 231,732,117.56
  5. Step 5: Solve for x
    x = 231,732,117.56/7,177
  6. Step 6: Final answer
    x = 32,288.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.