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Finding the Third Proportional to 10,837.82 and 17,309.12

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Solution

The third proportional to 10,837.82 and 17,309.12 is: 27,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.82 : 17,309.12 = 17,309.12 : x
  2. Step 2: Convert to fraction form
    10,837.82/17,309.12 = 17,309.12/x
  3. Step 3: Cross multiply
    10,837.82x = 17,309.12 × 17,309.12
  4. Step 4: Simplify right side
    10,837.82x = 299,605,723.75
  5. Step 5: Solve for x
    x = 299,605,723.75/10,837.82
  6. Step 6: Final answer
    x = 27,644.45

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.