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Finding the Third Proportional to 7,981.03 and 11,202.05

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Solution

The third proportional to 7,981.03 and 11,202.05 is: 15,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.03 : 11,202.05 = 11,202.05 : x
  2. Step 2: Convert to fraction form
    7,981.03/11,202.05 = 11,202.05/x
  3. Step 3: Cross multiply
    7,981.03x = 11,202.05 × 11,202.05
  4. Step 4: Simplify right side
    7,981.03x = 125,485,854.19
  5. Step 5: Solve for x
    x = 125,485,854.19/7,981.03
  6. Step 6: Final answer
    x = 15,723.01

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.