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Finding the Third Proportional to 5,734 and 7,736

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Solution

The third proportional to 5,734 and 7,736 is: 10,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734 : 7,736 = 7,736 : x
  2. Step 2: Convert to fraction form
    5,734/7,736 = 7,736/x
  3. Step 3: Cross multiply
    5,734x = 7,736 × 7,736
  4. Step 4: Simplify right side
    5,734x = 59,845,696
  5. Step 5: Solve for x
    x = 59,845,696/5,734
  6. Step 6: Final answer
    x = 10,436.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.