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Finding the Third Proportional to 792.89 and 1,715.53

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Solution

The third proportional to 792.89 and 1,715.53 is: 3,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.89 : 1,715.53 = 1,715.53 : x
  2. Step 2: Convert to fraction form
    792.89/1,715.53 = 1,715.53/x
  3. Step 3: Cross multiply
    792.89x = 1,715.53 × 1,715.53
  4. Step 4: Simplify right side
    792.89x = 2,943,060.03
  5. Step 5: Solve for x
    x = 2,943,060.03/792.89
  6. Step 6: Final answer
    x = 3,711.79

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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.