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Finding the Third Proportional to 36,460 and 76,736

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Solution

The third proportional to 36,460 and 76,736 is: 161,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460 : 76,736 = 76,736 : x
  2. Step 2: Convert to fraction form
    36,460/76,736 = 76,736/x
  3. Step 3: Cross multiply
    36,460x = 76,736 × 76,736
  4. Step 4: Simplify right side
    36,460x = 5,888,413,696
  5. Step 5: Solve for x
    x = 5,888,413,696/36,460
  6. Step 6: Final answer
    x = 161,503.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.