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Finding the Third Proportional to 9,131.91 and 13,758.05

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Solution

The third proportional to 9,131.91 and 13,758.05 is: 20,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.91 : 13,758.05 = 13,758.05 : x
  2. Step 2: Convert to fraction form
    9,131.91/13,758.05 = 13,758.05/x
  3. Step 3: Cross multiply
    9,131.91x = 13,758.05 × 13,758.05
  4. Step 4: Simplify right side
    9,131.91x = 189,283,853.81
  5. Step 5: Solve for x
    x = 189,283,853.81/9,131.91
  6. Step 6: Final answer
    x = 20,727.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.