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Finding the Third Proportional to 9,234 and 19,956.38

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Solution

The third proportional to 9,234 and 19,956.38 is: 43,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234 : 19,956.38 = 19,956.38 : x
  2. Step 2: Convert to fraction form
    9,234/19,956.38 = 19,956.38/x
  3. Step 3: Cross multiply
    9,234x = 19,956.38 × 19,956.38
  4. Step 4: Simplify right side
    9,234x = 398,256,903.14
  5. Step 5: Solve for x
    x = 398,256,903.14/9,234
  6. Step 6: Final answer
    x = 43,129.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.