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Finding the Third Proportional to 4,206.50 and 6,111.50

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Solution

The third proportional to 4,206.50 and 6,111.50 is: 8,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.50 : 6,111.50 = 6,111.50 : x
  2. Step 2: Convert to fraction form
    4,206.50/6,111.50 = 6,111.50/x
  3. Step 3: Cross multiply
    4,206.50x = 6,111.50 × 6,111.50
  4. Step 4: Simplify right side
    4,206.50x = 37,350,432.25
  5. Step 5: Solve for x
    x = 37,350,432.25/4,206.50
  6. Step 6: Final answer
    x = 8,879.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.