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Finding the Third Proportional to 2,941 and 3,927.50

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Solution

The third proportional to 2,941 and 3,927.50 is: 5,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941 : 3,927.50 = 3,927.50 : x
  2. Step 2: Convert to fraction form
    2,941/3,927.50 = 3,927.50/x
  3. Step 3: Cross multiply
    2,941x = 3,927.50 × 3,927.50
  4. Step 4: Simplify right side
    2,941x = 15,425,256.25
  5. Step 5: Solve for x
    x = 15,425,256.25/2,941
  6. Step 6: Final answer
    x = 5,244.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.