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Finding the Third Proportional to 7,028.73 and 10,437.37

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Solution

The third proportional to 7,028.73 and 10,437.37 is: 15,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.73 : 10,437.37 = 10,437.37 : x
  2. Step 2: Convert to fraction form
    7,028.73/10,437.37 = 10,437.37/x
  3. Step 3: Cross multiply
    7,028.73x = 10,437.37 × 10,437.37
  4. Step 4: Simplify right side
    7,028.73x = 108,938,735.73
  5. Step 5: Solve for x
    x = 108,938,735.73/7,028.73
  6. Step 6: Final answer
    x = 15,499.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.