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Finding the Third Proportional to 4,977 and 5,733

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Solution

The third proportional to 4,977 and 5,733 is: 6,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 5,733 = 5,733 : x
  2. Step 2: Convert to fraction form
    4,977/5,733 = 5,733/x
  3. Step 3: Cross multiply
    4,977x = 5,733 × 5,733
  4. Step 4: Simplify right side
    4,977x = 32,867,289
  5. Step 5: Solve for x
    x = 32,867,289/4,977
  6. Step 6: Final answer
    x = 6,603.84

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.