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Finding the Third Proportional to 19,118 and 41,260

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Solution

The third proportional to 19,118 and 41,260 is: 89,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,118 : 41,260 = 41,260 : x
  2. Step 2: Convert to fraction form
    19,118/41,260 = 41,260/x
  3. Step 3: Cross multiply
    19,118x = 41,260 × 41,260
  4. Step 4: Simplify right side
    19,118x = 1,702,387,600
  5. Step 5: Solve for x
    x = 1,702,387,600/19,118
  6. Step 6: Final answer
    x = 89,046.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.