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Finding the Third Proportional to 7,799.73 and 10,405.34

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Solution

The third proportional to 7,799.73 and 10,405.34 is: 13,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.73 : 10,405.34 = 10,405.34 : x
  2. Step 2: Convert to fraction form
    7,799.73/10,405.34 = 10,405.34/x
  3. Step 3: Cross multiply
    7,799.73x = 10,405.34 × 10,405.34
  4. Step 4: Simplify right side
    7,799.73x = 108,271,015.97
  5. Step 5: Solve for x
    x = 108,271,015.97/7,799.73
  6. Step 6: Final answer
    x = 13,881.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.