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Finding the Third Proportional to 19,234.50 and 39,426

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Solution

The third proportional to 19,234.50 and 39,426 is: 80,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234.50 : 39,426 = 39,426 : x
  2. Step 2: Convert to fraction form
    19,234.50/39,426 = 39,426/x
  3. Step 3: Cross multiply
    19,234.50x = 39,426 × 39,426
  4. Step 4: Simplify right side
    19,234.50x = 1,554,409,476
  5. Step 5: Solve for x
    x = 1,554,409,476/19,234.50
  6. Step 6: Final answer
    x = 80,813.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.