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Finding the Third Proportional to 6,145 and 9,233.50

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Solution

The third proportional to 6,145 and 9,233.50 is: 13,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145 : 9,233.50 = 9,233.50 : x
  2. Step 2: Convert to fraction form
    6,145/9,233.50 = 9,233.50/x
  3. Step 3: Cross multiply
    6,145x = 9,233.50 × 9,233.50
  4. Step 4: Simplify right side
    6,145x = 85,257,522.25
  5. Step 5: Solve for x
    x = 85,257,522.25/6,145
  6. Step 6: Final answer
    x = 13,874.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.