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Finding the Third Proportional to 7,189.50 and 14,433

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Solution

The third proportional to 7,189.50 and 14,433 is: 28,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.50 : 14,433 = 14,433 : x
  2. Step 2: Convert to fraction form
    7,189.50/14,433 = 14,433/x
  3. Step 3: Cross multiply
    7,189.50x = 14,433 × 14,433
  4. Step 4: Simplify right side
    7,189.50x = 208,311,489
  5. Step 5: Solve for x
    x = 208,311,489/7,189.50
  6. Step 6: Final answer
    x = 28,974.41

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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.