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Finding the Third Proportional to 51,833 and 77,736

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Solution

The third proportional to 51,833 and 77,736 is: 116,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,833 : 77,736 = 77,736 : x
  2. Step 2: Convert to fraction form
    51,833/77,736 = 77,736/x
  3. Step 3: Cross multiply
    51,833x = 77,736 × 77,736
  4. Step 4: Simplify right side
    51,833x = 6,042,885,696
  5. Step 5: Solve for x
    x = 6,042,885,696/51,833
  6. Step 6: Final answer
    x = 116,583.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.