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Finding the Third Proportional to 22,962 and 34,763

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Solution

The third proportional to 22,962 and 34,763 is: 52,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,962 : 34,763 = 34,763 : x
  2. Step 2: Convert to fraction form
    22,962/34,763 = 34,763/x
  3. Step 3: Cross multiply
    22,962x = 34,763 × 34,763
  4. Step 4: Simplify right side
    22,962x = 1,208,466,169
  5. Step 5: Solve for x
    x = 1,208,466,169/22,962
  6. Step 6: Final answer
    x = 52,628.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.