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Finding the Third Proportional to 11,899.41 and 13,110.19

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Solution

The third proportional to 11,899.41 and 13,110.19 is: 14,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.41 : 13,110.19 = 13,110.19 : x
  2. Step 2: Convert to fraction form
    11,899.41/13,110.19 = 13,110.19/x
  3. Step 3: Cross multiply
    11,899.41x = 13,110.19 × 13,110.19
  4. Step 4: Simplify right side
    11,899.41x = 171,877,016.29
  5. Step 5: Solve for x
    x = 171,877,016.29/11,899.41
  6. Step 6: Final answer
    x = 14,444.17

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.