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Finding the Third Proportional to 6,114.50 and 6,645.50

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Solution

The third proportional to 6,114.50 and 6,645.50 is: 7,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.50 : 6,645.50 = 6,645.50 : x
  2. Step 2: Convert to fraction form
    6,114.50/6,645.50 = 6,645.50/x
  3. Step 3: Cross multiply
    6,114.50x = 6,645.50 × 6,645.50
  4. Step 4: Simplify right side
    6,114.50x = 44,162,670.25
  5. Step 5: Solve for x
    x = 44,162,670.25/6,114.50
  6. Step 6: Final answer
    x = 7,222.61

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.