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Finding the Third Proportional to 34,981 and 74,949

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Solution

The third proportional to 34,981 and 74,949 is: 160,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,981 : 74,949 = 74,949 : x
  2. Step 2: Convert to fraction form
    34,981/74,949 = 74,949/x
  3. Step 3: Cross multiply
    34,981x = 74,949 × 74,949
  4. Step 4: Simplify right side
    34,981x = 5,617,352,601
  5. Step 5: Solve for x
    x = 5,617,352,601/34,981
  6. Step 6: Final answer
    x = 160,582.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.