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Finding the Third Proportional to 7,450.73 and 10,774.27

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Solution

The third proportional to 7,450.73 and 10,774.27 is: 15,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.73 : 10,774.27 = 10,774.27 : x
  2. Step 2: Convert to fraction form
    7,450.73/10,774.27 = 10,774.27/x
  3. Step 3: Cross multiply
    7,450.73x = 10,774.27 × 10,774.27
  4. Step 4: Simplify right side
    7,450.73x = 116,084,799.76
  5. Step 5: Solve for x
    x = 116,084,799.76/7,450.73
  6. Step 6: Final answer
    x = 15,580.32

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.