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Finding the Third Proportional to 6,857.16 and 10,241.44

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Solution

The third proportional to 6,857.16 and 10,241.44 is: 15,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.16 : 10,241.44 = 10,241.44 : x
  2. Step 2: Convert to fraction form
    6,857.16/10,241.44 = 10,241.44/x
  3. Step 3: Cross multiply
    6,857.16x = 10,241.44 × 10,241.44
  4. Step 4: Simplify right side
    6,857.16x = 104,887,042.07
  5. Step 5: Solve for x
    x = 104,887,042.07/6,857.16
  6. Step 6: Final answer
    x = 15,296.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.