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Finding the Third Proportional to 4,234.50 and 4,852.13

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Solution

The third proportional to 4,234.50 and 4,852.13 is: 5,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.50 : 4,852.13 = 4,852.13 : x
  2. Step 2: Convert to fraction form
    4,234.50/4,852.13 = 4,852.13/x
  3. Step 3: Cross multiply
    4,234.50x = 4,852.13 × 4,852.13
  4. Step 4: Simplify right side
    4,234.50x = 23,543,117.02
  5. Step 5: Solve for x
    x = 23,543,117.02/4,234.50
  6. Step 6: Final answer
    x = 5,559.83

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.