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Finding the Third Proportional to 2,977 and 5,683

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Solution

The third proportional to 2,977 and 5,683 is: 10,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977 : 5,683 = 5,683 : x
  2. Step 2: Convert to fraction form
    2,977/5,683 = 5,683/x
  3. Step 3: Cross multiply
    2,977x = 5,683 × 5,683
  4. Step 4: Simplify right side
    2,977x = 32,296,489
  5. Step 5: Solve for x
    x = 32,296,489/2,977
  6. Step 6: Final answer
    x = 10,848.67

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.