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Finding the Third Proportional to 9,568.13 and 15,131.81

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Solution

The third proportional to 9,568.13 and 15,131.81 is: 23,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.13 : 15,131.81 = 15,131.81 : x
  2. Step 2: Convert to fraction form
    9,568.13/15,131.81 = 15,131.81/x
  3. Step 3: Cross multiply
    9,568.13x = 15,131.81 × 15,131.81
  4. Step 4: Simplify right side
    9,568.13x = 228,971,749.54
  5. Step 5: Solve for x
    x = 228,971,749.54/9,568.13
  6. Step 6: Final answer
    x = 23,930.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.