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Finding the Third Proportional to 37,477.05 and 49,517.89

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Solution

The third proportional to 37,477.05 and 49,517.89 is: 65,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477.05 : 49,517.89 = 49,517.89 : x
  2. Step 2: Convert to fraction form
    37,477.05/49,517.89 = 49,517.89/x
  3. Step 3: Cross multiply
    37,477.05x = 49,517.89 × 49,517.89
  4. Step 4: Simplify right side
    37,477.05x = 2,452,021,878.81
  5. Step 5: Solve for x
    x = 2,452,021,878.81/37,477.05
  6. Step 6: Final answer
    x = 65,427.28

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.