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Finding the Third Proportional to 48,054.20 and 71,684.05

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Solution

The third proportional to 48,054.20 and 71,684.05 is: 106,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,054.20 : 71,684.05 = 71,684.05 : x
  2. Step 2: Convert to fraction form
    48,054.20/71,684.05 = 71,684.05/x
  3. Step 3: Cross multiply
    48,054.20x = 71,684.05 × 71,684.05
  4. Step 4: Simplify right side
    48,054.20x = 5,138,603,136.41
  5. Step 5: Solve for x
    x = 5,138,603,136.41/48,054.20
  6. Step 6: Final answer
    x = 106,933.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.