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Finding the Third Proportional to 19,322 and 40,318

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Solution

The third proportional to 19,322 and 40,318 is: 84,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322 : 40,318 = 40,318 : x
  2. Step 2: Convert to fraction form
    19,322/40,318 = 40,318/x
  3. Step 3: Cross multiply
    19,322x = 40,318 × 40,318
  4. Step 4: Simplify right side
    19,322x = 1,625,541,124
  5. Step 5: Solve for x
    x = 1,625,541,124/19,322
  6. Step 6: Final answer
    x = 84,129.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.