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Finding the Third Proportional to 28,993 and 44,097

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Solution

The third proportional to 28,993 and 44,097 is: 67,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,993 : 44,097 = 44,097 : x
  2. Step 2: Convert to fraction form
    28,993/44,097 = 44,097/x
  3. Step 3: Cross multiply
    28,993x = 44,097 × 44,097
  4. Step 4: Simplify right side
    28,993x = 1,944,545,409
  5. Step 5: Solve for x
    x = 1,944,545,409/28,993
  6. Step 6: Final answer
    x = 67,069.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.