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Finding the Third Proportional to 39,184.50 and 56,012.63

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Solution

The third proportional to 39,184.50 and 56,012.63 is: 80,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,184.50 : 56,012.63 = 56,012.63 : x
  2. Step 2: Convert to fraction form
    39,184.50/56,012.63 = 56,012.63/x
  3. Step 3: Cross multiply
    39,184.50x = 56,012.63 × 56,012.63
  4. Step 4: Simplify right side
    39,184.50x = 3,137,414,159.39
  5. Step 5: Solve for x
    x = 3,137,414,159.39/39,184.50
  6. Step 6: Final answer
    x = 80,067.73

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.