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Finding the Third Proportional to 44,504 and 69,308

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Solution

The third proportional to 44,504 and 69,308 is: 107,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,504 : 69,308 = 69,308 : x
  2. Step 2: Convert to fraction form
    44,504/69,308 = 69,308/x
  3. Step 3: Cross multiply
    44,504x = 69,308 × 69,308
  4. Step 4: Simplify right side
    44,504x = 4,803,598,864
  5. Step 5: Solve for x
    x = 4,803,598,864/44,504
  6. Step 6: Final answer
    x = 107,936.34

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.