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Finding the Third Proportional to 19,010 and 41,539

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Solution

The third proportional to 19,010 and 41,539 is: 90,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,010 : 41,539 = 41,539 : x
  2. Step 2: Convert to fraction form
    19,010/41,539 = 41,539/x
  3. Step 3: Cross multiply
    19,010x = 41,539 × 41,539
  4. Step 4: Simplify right side
    19,010x = 1,725,488,521
  5. Step 5: Solve for x
    x = 1,725,488,521/19,010
  6. Step 6: Final answer
    x = 90,767.41

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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.