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Finding the Third Proportional to 10,399.22 and 15,593.77

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Solution

The third proportional to 10,399.22 and 15,593.77 is: 23,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.22 : 15,593.77 = 15,593.77 : x
  2. Step 2: Convert to fraction form
    10,399.22/15,593.77 = 15,593.77/x
  3. Step 3: Cross multiply
    10,399.22x = 15,593.77 × 15,593.77
  4. Step 4: Simplify right side
    10,399.22x = 243,165,526.37
  5. Step 5: Solve for x
    x = 243,165,526.37/10,399.22
  6. Step 6: Final answer
    x = 23,383.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.