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Finding the Third Proportional to 13,057.13 and 26,805.75

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Solution

The third proportional to 13,057.13 and 26,805.75 is: 55,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.13 : 26,805.75 = 26,805.75 : x
  2. Step 2: Convert to fraction form
    13,057.13/26,805.75 = 26,805.75/x
  3. Step 3: Cross multiply
    13,057.13x = 26,805.75 × 26,805.75
  4. Step 4: Simplify right side
    13,057.13x = 718,548,233.06
  5. Step 5: Solve for x
    x = 718,548,233.06/13,057.13
  6. Step 6: Final answer
    x = 55,031.12

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.