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Finding the Third Proportional to 34,686 and 74,638

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Solution

The third proportional to 34,686 and 74,638 is: 160,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,686 : 74,638 = 74,638 : x
  2. Step 2: Convert to fraction form
    34,686/74,638 = 74,638/x
  3. Step 3: Cross multiply
    34,686x = 74,638 × 74,638
  4. Step 4: Simplify right side
    34,686x = 5,570,831,044
  5. Step 5: Solve for x
    x = 5,570,831,044/34,686
  6. Step 6: Final answer
    x = 160,607.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.