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Finding the Third Proportional to 6,910.31 and 10,107.28

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Solution

The third proportional to 6,910.31 and 10,107.28 is: 14,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.31 : 10,107.28 = 10,107.28 : x
  2. Step 2: Convert to fraction form
    6,910.31/10,107.28 = 10,107.28/x
  3. Step 3: Cross multiply
    6,910.31x = 10,107.28 × 10,107.28
  4. Step 4: Simplify right side
    6,910.31x = 102,157,134.27
  5. Step 5: Solve for x
    x = 102,157,134.27/6,910.31
  6. Step 6: Final answer
    x = 14,783.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.