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Finding the Third Proportional to 37,497.94 and 44,894.25

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Solution

The third proportional to 37,497.94 and 44,894.25 is: 53,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,497.94 : 44,894.25 = 44,894.25 : x
  2. Step 2: Convert to fraction form
    37,497.94/44,894.25 = 44,894.25/x
  3. Step 3: Cross multiply
    37,497.94x = 44,894.25 × 44,894.25
  4. Step 4: Simplify right side
    37,497.94x = 2,015,493,683.06
  5. Step 5: Solve for x
    x = 2,015,493,683.06/37,497.94
  6. Step 6: Final answer
    x = 53,749.45

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.