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Finding the Third Proportional to 6,495.75 and 10,123.31

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Solution

The third proportional to 6,495.75 and 10,123.31 is: 15,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.75 : 10,123.31 = 10,123.31 : x
  2. Step 2: Convert to fraction form
    6,495.75/10,123.31 = 10,123.31/x
  3. Step 3: Cross multiply
    6,495.75x = 10,123.31 × 10,123.31
  4. Step 4: Simplify right side
    6,495.75x = 102,481,455.97
  5. Step 5: Solve for x
    x = 102,481,455.97/6,495.75
  6. Step 6: Final answer
    x = 15,776.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.