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Finding the Third Proportional to 10,736.44 and 16,055.06

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Solution

The third proportional to 10,736.44 and 16,055.06 is: 24,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.44 : 16,055.06 = 16,055.06 : x
  2. Step 2: Convert to fraction form
    10,736.44/16,055.06 = 16,055.06/x
  3. Step 3: Cross multiply
    10,736.44x = 16,055.06 × 16,055.06
  4. Step 4: Simplify right side
    10,736.44x = 257,765,031.88
  5. Step 5: Solve for x
    x = 257,765,031.88/10,736.44
  6. Step 6: Final answer
    x = 24,008.43

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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.