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Finding the Third Proportional to 10,081.69 and 15,158.81

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Solution

The third proportional to 10,081.69 and 15,158.81 is: 22,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.69 : 15,158.81 = 15,158.81 : x
  2. Step 2: Convert to fraction form
    10,081.69/15,158.81 = 15,158.81/x
  3. Step 3: Cross multiply
    10,081.69x = 15,158.81 × 15,158.81
  4. Step 4: Simplify right side
    10,081.69x = 229,789,596.41
  5. Step 5: Solve for x
    x = 229,789,596.41/10,081.69
  6. Step 6: Final answer
    x = 22,792.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.