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Finding the Third Proportional to 19,454 and 41,865

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Solution

The third proportional to 19,454 and 41,865 is: 90,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454 : 41,865 = 41,865 : x
  2. Step 2: Convert to fraction form
    19,454/41,865 = 41,865/x
  3. Step 3: Cross multiply
    19,454x = 41,865 × 41,865
  4. Step 4: Simplify right side
    19,454x = 1,752,678,225
  5. Step 5: Solve for x
    x = 1,752,678,225/19,454
  6. Step 6: Final answer
    x = 90,093.46

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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.