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Finding the Third Proportional to 52,834 and 71,961

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Solution

The third proportional to 52,834 and 71,961 is: 98,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,834 : 71,961 = 71,961 : x
  2. Step 2: Convert to fraction form
    52,834/71,961 = 71,961/x
  3. Step 3: Cross multiply
    52,834x = 71,961 × 71,961
  4. Step 4: Simplify right side
    52,834x = 5,178,385,521
  5. Step 5: Solve for x
    x = 5,178,385,521/52,834
  6. Step 6: Final answer
    x = 98,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.