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Finding the Third Proportional to 37,610.58 and 76,950.32

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Solution

The third proportional to 37,610.58 and 76,950.32 is: 157,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,610.58 : 76,950.32 = 76,950.32 : x
  2. Step 2: Convert to fraction form
    37,610.58/76,950.32 = 76,950.32/x
  3. Step 3: Cross multiply
    37,610.58x = 76,950.32 × 76,950.32
  4. Step 4: Simplify right side
    37,610.58x = 5,921,351,195.02
  5. Step 5: Solve for x
    x = 5,921,351,195.02/37,610.58
  6. Step 6: Final answer
    x = 157,438.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.