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Finding the Third Proportional to 10,297.13 and 27,918.42

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Solution

The third proportional to 10,297.13 and 27,918.42 is: 75,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 27,918.42 = 27,918.42 : x
  2. Step 2: Convert to fraction form
    10,297.13/27,918.42 = 27,918.42/x
  3. Step 3: Cross multiply
    10,297.13x = 27,918.42 × 27,918.42
  4. Step 4: Simplify right side
    10,297.13x = 779,438,279.99
  5. Step 5: Solve for x
    x = 779,438,279.99/10,297.13
  6. Step 6: Final answer
    x = 75,694.75

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These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.