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Finding the Third Proportional to 38,824 and 83,188

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Solution

The third proportional to 38,824 and 83,188 is: 178,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,824 : 83,188 = 83,188 : x
  2. Step 2: Convert to fraction form
    38,824/83,188 = 83,188/x
  3. Step 3: Cross multiply
    38,824x = 83,188 × 83,188
  4. Step 4: Simplify right side
    38,824x = 6,920,243,344
  5. Step 5: Solve for x
    x = 6,920,243,344/38,824
  6. Step 6: Final answer
    x = 178,246.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.