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Finding the Third Proportional to 7,792.88 and 16,702.31

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Solution

The third proportional to 7,792.88 and 16,702.31 is: 35,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.88 : 16,702.31 = 16,702.31 : x
  2. Step 2: Convert to fraction form
    7,792.88/16,702.31 = 16,702.31/x
  3. Step 3: Cross multiply
    7,792.88x = 16,702.31 × 16,702.31
  4. Step 4: Simplify right side
    7,792.88x = 278,967,242.85
  5. Step 5: Solve for x
    x = 278,967,242.85/7,792.88
  6. Step 6: Final answer
    x = 35,797.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.