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Finding the Third Proportional to 2,234.81 and 3,543.75

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Solution

The third proportional to 2,234.81 and 3,543.75 is: 5,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.81 : 3,543.75 = 3,543.75 : x
  2. Step 2: Convert to fraction form
    2,234.81/3,543.75 = 3,543.75/x
  3. Step 3: Cross multiply
    2,234.81x = 3,543.75 × 3,543.75
  4. Step 4: Simplify right side
    2,234.81x = 12,558,164.06
  5. Step 5: Solve for x
    x = 12,558,164.06/2,234.81
  6. Step 6: Final answer
    x = 5,619.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.