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Finding the Third Proportional to 2,247.75 and 2,953.97

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Solution

The third proportional to 2,247.75 and 2,953.97 is: 3,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.75 : 2,953.97 = 2,953.97 : x
  2. Step 2: Convert to fraction form
    2,247.75/2,953.97 = 2,953.97/x
  3. Step 3: Cross multiply
    2,247.75x = 2,953.97 × 2,953.97
  4. Step 4: Simplify right side
    2,247.75x = 8,725,931.38
  5. Step 5: Solve for x
    x = 8,725,931.38/2,247.75
  6. Step 6: Final answer
    x = 3,882.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.