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Finding the Third Proportional to 7,747 and 11,693.50

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Solution

The third proportional to 7,747 and 11,693.50 is: 17,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747 : 11,693.50 = 11,693.50 : x
  2. Step 2: Convert to fraction form
    7,747/11,693.50 = 11,693.50/x
  3. Step 3: Cross multiply
    7,747x = 11,693.50 × 11,693.50
  4. Step 4: Simplify right side
    7,747x = 136,737,942.25
  5. Step 5: Solve for x
    x = 136,737,942.25/7,747
  6. Step 6: Final answer
    x = 17,650.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.