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Finding the Third Proportional to 19,822 and 44,018

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Solution

The third proportional to 19,822 and 44,018 is: 97,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822 : 44,018 = 44,018 : x
  2. Step 2: Convert to fraction form
    19,822/44,018 = 44,018/x
  3. Step 3: Cross multiply
    19,822x = 44,018 × 44,018
  4. Step 4: Simplify right side
    19,822x = 1,937,584,324
  5. Step 5: Solve for x
    x = 1,937,584,324/19,822
  6. Step 6: Final answer
    x = 97,749.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.