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Finding the Third Proportional to 33,038 and 81,479

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Solution

The third proportional to 33,038 and 81,479 is: 200,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038 : 81,479 = 81,479 : x
  2. Step 2: Convert to fraction form
    33,038/81,479 = 81,479/x
  3. Step 3: Cross multiply
    33,038x = 81,479 × 81,479
  4. Step 4: Simplify right side
    33,038x = 6,638,827,441
  5. Step 5: Solve for x
    x = 6,638,827,441/33,038
  6. Step 6: Final answer
    x = 200,945.20

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.