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Finding the Third Proportional to 19,039.50 and 40,941

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Solution

The third proportional to 19,039.50 and 40,941 is: 88,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,039.50 : 40,941 = 40,941 : x
  2. Step 2: Convert to fraction form
    19,039.50/40,941 = 40,941/x
  3. Step 3: Cross multiply
    19,039.50x = 40,941 × 40,941
  4. Step 4: Simplify right side
    19,039.50x = 1,676,165,481
  5. Step 5: Solve for x
    x = 1,676,165,481/19,039.50
  6. Step 6: Final answer
    x = 88,036.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.