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Finding the Third Proportional to 9,136.13 and 19,958.06

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Solution

The third proportional to 9,136.13 and 19,958.06 is: 43,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.13 : 19,958.06 = 19,958.06 : x
  2. Step 2: Convert to fraction form
    9,136.13/19,958.06 = 19,958.06/x
  3. Step 3: Cross multiply
    9,136.13x = 19,958.06 × 19,958.06
  4. Step 4: Simplify right side
    9,136.13x = 398,324,258.75
  5. Step 5: Solve for x
    x = 398,324,258.75/9,136.13
  6. Step 6: Final answer
    x = 43,598.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.