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Finding the Third Proportional to 23,728 and 38,226

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Solution

The third proportional to 23,728 and 38,226 is: 61,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728 : 38,226 = 38,226 : x
  2. Step 2: Convert to fraction form
    23,728/38,226 = 38,226/x
  3. Step 3: Cross multiply
    23,728x = 38,226 × 38,226
  4. Step 4: Simplify right side
    23,728x = 1,461,227,076
  5. Step 5: Solve for x
    x = 1,461,227,076/23,728
  6. Step 6: Final answer
    x = 61,582.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.