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Finding the Third Proportional to 5,030 and 10,951

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Solution

The third proportional to 5,030 and 10,951 is: 23,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030 : 10,951 = 10,951 : x
  2. Step 2: Convert to fraction form
    5,030/10,951 = 10,951/x
  3. Step 3: Cross multiply
    5,030x = 10,951 × 10,951
  4. Step 4: Simplify right side
    5,030x = 119,924,401
  5. Step 5: Solve for x
    x = 119,924,401/5,030
  6. Step 6: Final answer
    x = 23,841.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.