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Finding the Third Proportional to 34,635 and 74,738

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Solution

The third proportional to 34,635 and 74,738 is: 161,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,635 : 74,738 = 74,738 : x
  2. Step 2: Convert to fraction form
    34,635/74,738 = 74,738/x
  3. Step 3: Cross multiply
    34,635x = 74,738 × 74,738
  4. Step 4: Simplify right side
    34,635x = 5,585,768,644
  5. Step 5: Solve for x
    x = 5,585,768,644/34,635
  6. Step 6: Final answer
    x = 161,275.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.