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Finding the Third Proportional to 20,098 and 43,654.50

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Solution

The third proportional to 20,098 and 43,654.50 is: 94,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098 : 43,654.50 = 43,654.50 : x
  2. Step 2: Convert to fraction form
    20,098/43,654.50 = 43,654.50/x
  3. Step 3: Cross multiply
    20,098x = 43,654.50 × 43,654.50
  4. Step 4: Simplify right side
    20,098x = 1,905,715,370.25
  5. Step 5: Solve for x
    x = 1,905,715,370.25/20,098
  6. Step 6: Final answer
    x = 94,821.14

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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.