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Finding the Third Proportional to 2,965.50 and 6,257.63

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Solution

The third proportional to 2,965.50 and 6,257.63 is: 13,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.50 : 6,257.63 = 6,257.63 : x
  2. Step 2: Convert to fraction form
    2,965.50/6,257.63 = 6,257.63/x
  3. Step 3: Cross multiply
    2,965.50x = 6,257.63 × 6,257.63
  4. Step 4: Simplify right side
    2,965.50x = 39,157,870.64
  5. Step 5: Solve for x
    x = 39,157,870.64/2,965.50
  6. Step 6: Final answer
    x = 13,204.48

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.