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Finding the Third Proportional to 7,320.38 and 10,285.73

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Solution

The third proportional to 7,320.38 and 10,285.73 is: 14,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320.38 : 10,285.73 = 10,285.73 : x
  2. Step 2: Convert to fraction form
    7,320.38/10,285.73 = 10,285.73/x
  3. Step 3: Cross multiply
    7,320.38x = 10,285.73 × 10,285.73
  4. Step 4: Simplify right side
    7,320.38x = 105,796,331.63
  5. Step 5: Solve for x
    x = 105,796,331.63/7,320.38
  6. Step 6: Final answer
    x = 14,452.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.