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Finding the Third Proportional to 14,184 and 30,855.50

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Solution

The third proportional to 14,184 and 30,855.50 is: 67,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184 : 30,855.50 = 30,855.50 : x
  2. Step 2: Convert to fraction form
    14,184/30,855.50 = 30,855.50/x
  3. Step 3: Cross multiply
    14,184x = 30,855.50 × 30,855.50
  4. Step 4: Simplify right side
    14,184x = 952,061,880.25
  5. Step 5: Solve for x
    x = 952,061,880.25/14,184
  6. Step 6: Final answer
    x = 67,122.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.