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Finding the Third Proportional to 38,496 and 85,736

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Solution

The third proportional to 38,496 and 85,736 is: 190,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496 : 85,736 = 85,736 : x
  2. Step 2: Convert to fraction form
    38,496/85,736 = 85,736/x
  3. Step 3: Cross multiply
    38,496x = 85,736 × 85,736
  4. Step 4: Simplify right side
    38,496x = 7,350,661,696
  5. Step 5: Solve for x
    x = 7,350,661,696/38,496
  6. Step 6: Final answer
    x = 190,946.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.