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Finding the Third Proportional to 7,186.50 and 14,427

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Solution

The third proportional to 7,186.50 and 14,427 is: 28,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.50 : 14,427 = 14,427 : x
  2. Step 2: Convert to fraction form
    7,186.50/14,427 = 14,427/x
  3. Step 3: Cross multiply
    7,186.50x = 14,427 × 14,427
  4. Step 4: Simplify right side
    7,186.50x = 208,138,329
  5. Step 5: Solve for x
    x = 208,138,329/7,186.50
  6. Step 6: Final answer
    x = 28,962.41

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.