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Finding the Third Proportional to 7,899.38 and 11,899.13

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Solution

The third proportional to 7,899.38 and 11,899.13 is: 17,924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.38 : 11,899.13 = 11,899.13 : x
  2. Step 2: Convert to fraction form
    7,899.38/11,899.13 = 11,899.13/x
  3. Step 3: Cross multiply
    7,899.38x = 11,899.13 × 11,899.13
  4. Step 4: Simplify right side
    7,899.38x = 141,589,175.77
  5. Step 5: Solve for x
    x = 141,589,175.77/7,899.38
  6. Step 6: Final answer
    x = 17,924.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.