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Finding the Third Proportional to 2,969.50 and 6,274.25

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Solution

The third proportional to 2,969.50 and 6,274.25 is: 13,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.50 : 6,274.25 = 6,274.25 : x
  2. Step 2: Convert to fraction form
    2,969.50/6,274.25 = 6,274.25/x
  3. Step 3: Cross multiply
    2,969.50x = 6,274.25 × 6,274.25
  4. Step 4: Simplify right side
    2,969.50x = 39,366,213.06
  5. Step 5: Solve for x
    x = 39,366,213.06/2,969.50
  6. Step 6: Final answer
    x = 13,256.85

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Why These Related Problems?

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