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Finding the Third Proportional to 10,504.13 and 16,272.56

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Solution

The third proportional to 10,504.13 and 16,272.56 is: 25,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.13 : 16,272.56 = 16,272.56 : x
  2. Step 2: Convert to fraction form
    10,504.13/16,272.56 = 16,272.56/x
  3. Step 3: Cross multiply
    10,504.13x = 16,272.56 × 16,272.56
  4. Step 4: Simplify right side
    10,504.13x = 264,796,290.32
  5. Step 5: Solve for x
    x = 264,796,290.32/10,504.13
  6. Step 6: Final answer
    x = 25,208.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.