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Finding the Third Proportional to 19,049.50 and 41,789

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Solution

The third proportional to 19,049.50 and 41,789 is: 91,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049.50 : 41,789 = 41,789 : x
  2. Step 2: Convert to fraction form
    19,049.50/41,789 = 41,789/x
  3. Step 3: Cross multiply
    19,049.50x = 41,789 × 41,789
  4. Step 4: Simplify right side
    19,049.50x = 1,746,320,521
  5. Step 5: Solve for x
    x = 1,746,320,521/19,049.50
  6. Step 6: Final answer
    x = 91,672.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.