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Finding the Third Proportional to 792.49 and 1,715.34

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Solution

The third proportional to 792.49 and 1,715.34 is: 3,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.49 : 1,715.34 = 1,715.34 : x
  2. Step 2: Convert to fraction form
    792.49/1,715.34 = 1,715.34/x
  3. Step 3: Cross multiply
    792.49x = 1,715.34 × 1,715.34
  4. Step 4: Simplify right side
    792.49x = 2,942,404.18
  5. Step 5: Solve for x
    x = 2,942,404.18/792.49
  6. Step 6: Final answer
    x = 3,712.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.