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Finding the Third Proportional to 19,514 and 41,989

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Solution

The third proportional to 19,514 and 41,989 is: 90,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514 : 41,989 = 41,989 : x
  2. Step 2: Convert to fraction form
    19,514/41,989 = 41,989/x
  3. Step 3: Cross multiply
    19,514x = 41,989 × 41,989
  4. Step 4: Simplify right side
    19,514x = 1,763,076,121
  5. Step 5: Solve for x
    x = 1,763,076,121/19,514
  6. Step 6: Final answer
    x = 90,349.29

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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.