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Finding the Third Proportional to 23,683 and 36,281

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Solution

The third proportional to 23,683 and 36,281 is: 55,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683 : 36,281 = 36,281 : x
  2. Step 2: Convert to fraction form
    23,683/36,281 = 36,281/x
  3. Step 3: Cross multiply
    23,683x = 36,281 × 36,281
  4. Step 4: Simplify right side
    23,683x = 1,316,310,961
  5. Step 5: Solve for x
    x = 1,316,310,961/23,683
  6. Step 6: Final answer
    x = 55,580.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.