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Finding the Third Proportional to 10,068 and 20,172

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Solution

The third proportional to 10,068 and 20,172 is: 40,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068 : 20,172 = 20,172 : x
  2. Step 2: Convert to fraction form
    10,068/20,172 = 20,172/x
  3. Step 3: Cross multiply
    10,068x = 20,172 × 20,172
  4. Step 4: Simplify right side
    10,068x = 406,909,584
  5. Step 5: Solve for x
    x = 406,909,584/10,068
  6. Step 6: Final answer
    x = 40,416.13

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.