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Finding the Third Proportional to 19,827 and 43,598

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Solution

The third proportional to 19,827 and 43,598 is: 95,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827 : 43,598 = 43,598 : x
  2. Step 2: Convert to fraction form
    19,827/43,598 = 43,598/x
  3. Step 3: Cross multiply
    19,827x = 43,598 × 43,598
  4. Step 4: Simplify right side
    19,827x = 1,900,785,604
  5. Step 5: Solve for x
    x = 1,900,785,604/19,827
  6. Step 6: Final answer
    x = 95,868.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.