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Finding the Third Proportional to 19,057 and 41,294

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Solution

The third proportional to 19,057 and 41,294 is: 89,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,057 : 41,294 = 41,294 : x
  2. Step 2: Convert to fraction form
    19,057/41,294 = 41,294/x
  3. Step 3: Cross multiply
    19,057x = 41,294 × 41,294
  4. Step 4: Simplify right side
    19,057x = 1,705,194,436
  5. Step 5: Solve for x
    x = 1,705,194,436/19,057
  6. Step 6: Final answer
    x = 89,478.64

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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.