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Finding the Third Proportional to 8,278.14 and 17,792.87

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Solution

The third proportional to 8,278.14 and 17,792.87 is: 38,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.14 : 17,792.87 = 17,792.87 : x
  2. Step 2: Convert to fraction form
    8,278.14/17,792.87 = 17,792.87/x
  3. Step 3: Cross multiply
    8,278.14x = 17,792.87 × 17,792.87
  4. Step 4: Simplify right side
    8,278.14x = 316,586,157.50
  5. Step 5: Solve for x
    x = 316,586,157.50/8,278.14
  6. Step 6: Final answer
    x = 38,243.65

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Why These Related Problems?

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