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Finding the Third Proportional to 19,822 and 43,330

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Solution

The third proportional to 19,822 and 43,330 is: 94,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822 : 43,330 = 43,330 : x
  2. Step 2: Convert to fraction form
    19,822/43,330 = 43,330/x
  3. Step 3: Cross multiply
    19,822x = 43,330 × 43,330
  4. Step 4: Simplify right side
    19,822x = 1,877,488,900
  5. Step 5: Solve for x
    x = 1,877,488,900/19,822
  6. Step 6: Final answer
    x = 94,717.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.