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Finding the Third Proportional to 19,037 and 41,341

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Solution

The third proportional to 19,037 and 41,341 is: 89,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,037 : 41,341 = 41,341 : x
  2. Step 2: Convert to fraction form
    19,037/41,341 = 41,341/x
  3. Step 3: Cross multiply
    19,037x = 41,341 × 41,341
  4. Step 4: Simplify right side
    19,037x = 1,709,078,281
  5. Step 5: Solve for x
    x = 1,709,078,281/19,037
  6. Step 6: Final answer
    x = 89,776.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.