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Finding the Third Proportional to 21,969 and 34,951

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Solution

The third proportional to 21,969 and 34,951 is: 55,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969 : 34,951 = 34,951 : x
  2. Step 2: Convert to fraction form
    21,969/34,951 = 34,951/x
  3. Step 3: Cross multiply
    21,969x = 34,951 × 34,951
  4. Step 4: Simplify right side
    21,969x = 1,221,572,401
  5. Step 5: Solve for x
    x = 1,221,572,401/21,969
  6. Step 6: Final answer
    x = 55,604.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.