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Finding the Third Proportional to 4,325 and 4,964

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Solution

The third proportional to 4,325 and 4,964 is: 5,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325 : 4,964 = 4,964 : x
  2. Step 2: Convert to fraction form
    4,325/4,964 = 4,964/x
  3. Step 3: Cross multiply
    4,325x = 4,964 × 4,964
  4. Step 4: Simplify right side
    4,325x = 24,641,296
  5. Step 5: Solve for x
    x = 24,641,296/4,325
  6. Step 6: Final answer
    x = 5,697.41

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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.