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Finding the Third Proportional to 5,763 and 7,936.50

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Solution

The third proportional to 5,763 and 7,936.50 is: 10,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763 : 7,936.50 = 7,936.50 : x
  2. Step 2: Convert to fraction form
    5,763/7,936.50 = 7,936.50/x
  3. Step 3: Cross multiply
    5,763x = 7,936.50 × 7,936.50
  4. Step 4: Simplify right side
    5,763x = 62,988,032.25
  5. Step 5: Solve for x
    x = 62,988,032.25/5,763
  6. Step 6: Final answer
    x = 10,929.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.