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Finding the Third Proportional to 34,793 and 74,943

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Solution

The third proportional to 34,793 and 74,943 is: 161,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,793 : 74,943 = 74,943 : x
  2. Step 2: Convert to fraction form
    34,793/74,943 = 74,943/x
  3. Step 3: Cross multiply
    34,793x = 74,943 × 74,943
  4. Step 4: Simplify right side
    34,793x = 5,616,453,249
  5. Step 5: Solve for x
    x = 5,616,453,249/34,793
  6. Step 6: Final answer
    x = 161,424.81

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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.