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Finding the Third Proportional to 44,829 and 89,667

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Solution

The third proportional to 44,829 and 89,667 is: 179,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,829 : 89,667 = 89,667 : x
  2. Step 2: Convert to fraction form
    44,829/89,667 = 89,667/x
  3. Step 3: Cross multiply
    44,829x = 89,667 × 89,667
  4. Step 4: Simplify right side
    44,829x = 8,040,170,889
  5. Step 5: Solve for x
    x = 8,040,170,889/44,829
  6. Step 6: Final answer
    x = 179,352.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.