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Finding the Third Proportional to 44,665 and 66,949.50

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Solution

The third proportional to 44,665 and 66,949.50 is: 100,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,665 : 66,949.50 = 66,949.50 : x
  2. Step 2: Convert to fraction form
    44,665/66,949.50 = 66,949.50/x
  3. Step 3: Cross multiply
    44,665x = 66,949.50 × 66,949.50
  4. Step 4: Simplify right side
    44,665x = 4,482,235,550.25
  5. Step 5: Solve for x
    x = 4,482,235,550.25/44,665
  6. Step 6: Final answer
    x = 100,352.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.