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Finding the Third Proportional to 9,234 and 18,936

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Solution

The third proportional to 9,234 and 18,936 is: 38,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234 : 18,936 = 18,936 : x
  2. Step 2: Convert to fraction form
    9,234/18,936 = 18,936/x
  3. Step 3: Cross multiply
    9,234x = 18,936 × 18,936
  4. Step 4: Simplify right side
    9,234x = 358,572,096
  5. Step 5: Solve for x
    x = 358,572,096/9,234
  6. Step 6: Final answer
    x = 38,831.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.