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Finding the Third Proportional to 5,947 and 14,063.50

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Solution

The third proportional to 5,947 and 14,063.50 is: 33,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947 : 14,063.50 = 14,063.50 : x
  2. Step 2: Convert to fraction form
    5,947/14,063.50 = 14,063.50/x
  3. Step 3: Cross multiply
    5,947x = 14,063.50 × 14,063.50
  4. Step 4: Simplify right side
    5,947x = 197,782,032.25
  5. Step 5: Solve for x
    x = 197,782,032.25/5,947
  6. Step 6: Final answer
    x = 33,257.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.