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Finding the Third Proportional to 14,949 and 34,455

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Solution

The third proportional to 14,949 and 34,455 is: 79,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949 : 34,455 = 34,455 : x
  2. Step 2: Convert to fraction form
    14,949/34,455 = 34,455/x
  3. Step 3: Cross multiply
    14,949x = 34,455 × 34,455
  4. Step 4: Simplify right side
    14,949x = 1,187,147,025
  5. Step 5: Solve for x
    x = 1,187,147,025/14,949
  6. Step 6: Final answer
    x = 79,413.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.