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Finding the Third Proportional to 3,837.16 and 8,264.74

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Solution

The third proportional to 3,837.16 and 8,264.74 is: 17,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.16 : 8,264.74 = 8,264.74 : x
  2. Step 2: Convert to fraction form
    3,837.16/8,264.74 = 8,264.74/x
  3. Step 3: Cross multiply
    3,837.16x = 8,264.74 × 8,264.74
  4. Step 4: Simplify right side
    3,837.16x = 68,305,963.43
  5. Step 5: Solve for x
    x = 68,305,963.43/3,837.16
  6. Step 6: Final answer
    x = 17,801.16

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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.