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Finding the Third Proportional to 6,887.53 and 10,092.09

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Solution

The third proportional to 6,887.53 and 10,092.09 is: 14,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.53 : 10,092.09 = 10,092.09 : x
  2. Step 2: Convert to fraction form
    6,887.53/10,092.09 = 10,092.09/x
  3. Step 3: Cross multiply
    6,887.53x = 10,092.09 × 10,092.09
  4. Step 4: Simplify right side
    6,887.53x = 101,850,356.26
  5. Step 5: Solve for x
    x = 101,850,356.26/6,887.53
  6. Step 6: Final answer
    x = 14,787.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.