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Finding the Third Proportional to 19,814 and 44,002

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Solution

The third proportional to 19,814 and 44,002 is: 97,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814 : 44,002 = 44,002 : x
  2. Step 2: Convert to fraction form
    19,814/44,002 = 44,002/x
  3. Step 3: Cross multiply
    19,814x = 44,002 × 44,002
  4. Step 4: Simplify right side
    19,814x = 1,936,176,004
  5. Step 5: Solve for x
    x = 1,936,176,004/19,814
  6. Step 6: Final answer
    x = 97,717.57

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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.