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Finding the Third Proportional to 19,733.50 and 43,355

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Solution

The third proportional to 19,733.50 and 43,355 is: 95,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733.50 : 43,355 = 43,355 : x
  2. Step 2: Convert to fraction form
    19,733.50/43,355 = 43,355/x
  3. Step 3: Cross multiply
    19,733.50x = 43,355 × 43,355
  4. Step 4: Simplify right side
    19,733.50x = 1,879,656,025
  5. Step 5: Solve for x
    x = 1,879,656,025/19,733.50
  6. Step 6: Final answer
    x = 95,252.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.