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Finding the Third Proportional to 37,007 and 57,990

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Solution

The third proportional to 37,007 and 57,990 is: 90,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,007 : 57,990 = 57,990 : x
  2. Step 2: Convert to fraction form
    37,007/57,990 = 57,990/x
  3. Step 3: Cross multiply
    37,007x = 57,990 × 57,990
  4. Step 4: Simplify right side
    37,007x = 3,362,840,100
  5. Step 5: Solve for x
    x = 3,362,840,100/37,007
  6. Step 6: Final answer
    x = 90,870.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.