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Finding the Third Proportional to 3,569.54 and 7,799.73

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Solution

The third proportional to 3,569.54 and 7,799.73 is: 17,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.54 : 7,799.73 = 7,799.73 : x
  2. Step 2: Convert to fraction form
    3,569.54/7,799.73 = 7,799.73/x
  3. Step 3: Cross multiply
    3,569.54x = 7,799.73 × 7,799.73
  4. Step 4: Simplify right side
    3,569.54x = 60,835,795.39
  5. Step 5: Solve for x
    x = 60,835,795.39/3,569.54
  6. Step 6: Final answer
    x = 17,043.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.