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Finding the Third Proportional to 37,497.94 and 61,509.38

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Solution

The third proportional to 37,497.94 and 61,509.38 is: 100,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,497.94 : 61,509.38 = 61,509.38 : x
  2. Step 2: Convert to fraction form
    37,497.94/61,509.38 = 61,509.38/x
  3. Step 3: Cross multiply
    37,497.94x = 61,509.38 × 61,509.38
  4. Step 4: Simplify right side
    37,497.94x = 3,783,403,212.89
  5. Step 5: Solve for x
    x = 3,783,403,212.89/37,497.94
  6. Step 6: Final answer
    x = 100,896.30

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.