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Finding the Third Proportional to 7,112 and 7,736

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Solution

The third proportional to 7,112 and 7,736 is: 8,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112 : 7,736 = 7,736 : x
  2. Step 2: Convert to fraction form
    7,112/7,736 = 7,736/x
  3. Step 3: Cross multiply
    7,112x = 7,736 × 7,736
  4. Step 4: Simplify right side
    7,112x = 59,845,696
  5. Step 5: Solve for x
    x = 59,845,696/7,112
  6. Step 6: Final answer
    x = 8,414.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.