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Finding the Third Proportional to 10,030 and 20,098

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Solution

The third proportional to 10,030 and 20,098 is: 40,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030 : 20,098 = 20,098 : x
  2. Step 2: Convert to fraction form
    10,030/20,098 = 20,098/x
  3. Step 3: Cross multiply
    10,030x = 20,098 × 20,098
  4. Step 4: Simplify right side
    10,030x = 403,929,604
  5. Step 5: Solve for x
    x = 403,929,604/10,030
  6. Step 6: Final answer
    x = 40,272.14

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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.