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Finding the Third Proportional to 3,927 and 6,106.50

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Solution

The third proportional to 3,927 and 6,106.50 is: 9,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927 : 6,106.50 = 6,106.50 : x
  2. Step 2: Convert to fraction form
    3,927/6,106.50 = 6,106.50/x
  3. Step 3: Cross multiply
    3,927x = 6,106.50 × 6,106.50
  4. Step 4: Simplify right side
    3,927x = 37,289,342.25
  5. Step 5: Solve for x
    x = 37,289,342.25/3,927
  6. Step 6: Final answer
    x = 9,495.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.