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Finding the Third Proportional to 39,745.69 and 63,931.78

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Solution

The third proportional to 39,745.69 and 63,931.78 is: 102,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,745.69 : 63,931.78 = 63,931.78 : x
  2. Step 2: Convert to fraction form
    39,745.69/63,931.78 = 63,931.78/x
  3. Step 3: Cross multiply
    39,745.69x = 63,931.78 × 63,931.78
  4. Step 4: Simplify right side
    39,745.69x = 4,087,272,653.80
  5. Step 5: Solve for x
    x = 4,087,272,653.80/39,745.69
  6. Step 6: Final answer
    x = 102,835.63

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.