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Finding the Third Proportional to 33,442 and 44,763

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Solution

The third proportional to 33,442 and 44,763 is: 59,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442 : 44,763 = 44,763 : x
  2. Step 2: Convert to fraction form
    33,442/44,763 = 44,763/x
  3. Step 3: Cross multiply
    33,442x = 44,763 × 44,763
  4. Step 4: Simplify right side
    33,442x = 2,003,726,169
  5. Step 5: Solve for x
    x = 2,003,726,169/33,442
  6. Step 6: Final answer
    x = 59,916.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.