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Finding the Third Proportional to 44,648.25 and 69,071.63

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Solution

The third proportional to 44,648.25 and 69,071.63 is: 106,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,648.25 : 69,071.63 = 69,071.63 : x
  2. Step 2: Convert to fraction form
    44,648.25/69,071.63 = 69,071.63/x
  3. Step 3: Cross multiply
    44,648.25x = 69,071.63 × 69,071.63
  4. Step 4: Simplify right side
    44,648.25x = 4,770,889,380.14
  5. Step 5: Solve for x
    x = 4,770,889,380.14/44,648.25
  6. Step 6: Final answer
    x = 106,855.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.