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Finding the Third Proportional to 19,310 and 41,941

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Solution

The third proportional to 19,310 and 41,941 is: 91,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,310 : 41,941 = 41,941 : x
  2. Step 2: Convert to fraction form
    19,310/41,941 = 41,941/x
  3. Step 3: Cross multiply
    19,310x = 41,941 × 41,941
  4. Step 4: Simplify right side
    19,310x = 1,759,047,481
  5. Step 5: Solve for x
    x = 1,759,047,481/19,310
  6. Step 6: Final answer
    x = 91,095.16

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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.