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Finding the Third Proportional to 13,008.09 and 14,374.97

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Solution

The third proportional to 13,008.09 and 14,374.97 is: 15,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.09 : 14,374.97 = 14,374.97 : x
  2. Step 2: Convert to fraction form
    13,008.09/14,374.97 = 14,374.97/x
  3. Step 3: Cross multiply
    13,008.09x = 14,374.97 × 14,374.97
  4. Step 4: Simplify right side
    13,008.09x = 206,639,726.56
  5. Step 5: Solve for x
    x = 206,639,726.56/13,008.09
  6. Step 6: Final answer
    x = 15,885.47

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.