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Finding the Third Proportional to 19,293 and 40,956

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Solution

The third proportional to 19,293 and 40,956 is: 86,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,293 : 40,956 = 40,956 : x
  2. Step 2: Convert to fraction form
    19,293/40,956 = 40,956/x
  3. Step 3: Cross multiply
    19,293x = 40,956 × 40,956
  4. Step 4: Simplify right side
    19,293x = 1,677,393,936
  5. Step 5: Solve for x
    x = 1,677,393,936/19,293
  6. Step 6: Final answer
    x = 86,943.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.