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Finding the Third Proportional to 20,098 and 43,655

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Solution

The third proportional to 20,098 and 43,655 is: 94,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098 : 43,655 = 43,655 : x
  2. Step 2: Convert to fraction form
    20,098/43,655 = 43,655/x
  3. Step 3: Cross multiply
    20,098x = 43,655 × 43,655
  4. Step 4: Simplify right side
    20,098x = 1,905,759,025
  5. Step 5: Solve for x
    x = 1,905,759,025/20,098
  6. Step 6: Final answer
    x = 94,823.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.