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Finding the Third Proportional to 6,270 and 14,578.50

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Solution

The third proportional to 6,270 and 14,578.50 is: 33,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270 : 14,578.50 = 14,578.50 : x
  2. Step 2: Convert to fraction form
    6,270/14,578.50 = 14,578.50/x
  3. Step 3: Cross multiply
    6,270x = 14,578.50 × 14,578.50
  4. Step 4: Simplify right side
    6,270x = 212,532,662.25
  5. Step 5: Solve for x
    x = 212,532,662.25/6,270
  6. Step 6: Final answer
    x = 33,896.76

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.