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Finding the Third Proportional to 7,362.56 and 10,400.06

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Solution

The third proportional to 7,362.56 and 10,400.06 is: 14,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.56 : 10,400.06 = 10,400.06 : x
  2. Step 2: Convert to fraction form
    7,362.56/10,400.06 = 10,400.06/x
  3. Step 3: Cross multiply
    7,362.56x = 10,400.06 × 10,400.06
  4. Step 4: Simplify right side
    7,362.56x = 108,161,300.00
  5. Step 5: Solve for x
    x = 108,161,300.00/7,362.56
  6. Step 6: Final answer
    x = 14,690.71

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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.