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Finding the Third Proportional to 4,234.50 and 6,543.75

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Solution

The third proportional to 4,234.50 and 6,543.75 is: 10,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.50 : 6,543.75 = 6,543.75 : x
  2. Step 2: Convert to fraction form
    4,234.50/6,543.75 = 6,543.75/x
  3. Step 3: Cross multiply
    4,234.50x = 6,543.75 × 6,543.75
  4. Step 4: Simplify right side
    4,234.50x = 42,820,664.06
  5. Step 5: Solve for x
    x = 42,820,664.06/4,234.50
  6. Step 6: Final answer
    x = 10,112.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.