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Finding the Third Proportional to 10,081.13 and 14,159.81

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Solution

The third proportional to 10,081.13 and 14,159.81 is: 19,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.13 : 14,159.81 = 14,159.81 : x
  2. Step 2: Convert to fraction form
    10,081.13/14,159.81 = 14,159.81/x
  3. Step 3: Cross multiply
    10,081.13x = 14,159.81 × 14,159.81
  4. Step 4: Simplify right side
    10,081.13x = 200,500,290.04
  5. Step 5: Solve for x
    x = 200,500,290.04/10,081.13
  6. Step 6: Final answer
    x = 19,888.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.