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Finding the Third Proportional to 19,052 and 41,793

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Solution

The third proportional to 19,052 and 41,793 is: 91,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,052 : 41,793 = 41,793 : x
  2. Step 2: Convert to fraction form
    19,052/41,793 = 41,793/x
  3. Step 3: Cross multiply
    19,052x = 41,793 × 41,793
  4. Step 4: Simplify right side
    19,052x = 1,746,654,849
  5. Step 5: Solve for x
    x = 1,746,654,849/19,052
  6. Step 6: Final answer
    x = 91,678.29

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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.