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Finding the Third Proportional to 34,120 and 52,638

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Solution

The third proportional to 34,120 and 52,638 is: 81,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,120 : 52,638 = 52,638 : x
  2. Step 2: Convert to fraction form
    34,120/52,638 = 52,638/x
  3. Step 3: Cross multiply
    34,120x = 52,638 × 52,638
  4. Step 4: Simplify right side
    34,120x = 2,770,759,044
  5. Step 5: Solve for x
    x = 2,770,759,044/34,120
  6. Step 6: Final answer
    x = 81,206.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.