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Finding the Third Proportional to 4,409 and 4,913

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Solution

The third proportional to 4,409 and 4,913 is: 5,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409 : 4,913 = 4,913 : x
  2. Step 2: Convert to fraction form
    4,409/4,913 = 4,913/x
  3. Step 3: Cross multiply
    4,409x = 4,913 × 4,913
  4. Step 4: Simplify right side
    4,409x = 24,137,569
  5. Step 5: Solve for x
    x = 24,137,569/4,409
  6. Step 6: Final answer
    x = 5,474.61

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.