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Finding the Third Proportional to 34,646 and 74,828

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Solution

The third proportional to 34,646 and 74,828 is: 161,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,646 : 74,828 = 74,828 : x
  2. Step 2: Convert to fraction form
    34,646/74,828 = 74,828/x
  3. Step 3: Cross multiply
    34,646x = 74,828 × 74,828
  4. Step 4: Simplify right side
    34,646x = 5,599,229,584
  5. Step 5: Solve for x
    x = 5,599,229,584/34,646
  6. Step 6: Final answer
    x = 161,612.58

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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.