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Finding the Third Proportional to 13,389 and 23,970

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Solution

The third proportional to 13,389 and 23,970 is: 42,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389 : 23,970 = 23,970 : x
  2. Step 2: Convert to fraction form
    13,389/23,970 = 23,970/x
  3. Step 3: Cross multiply
    13,389x = 23,970 × 23,970
  4. Step 4: Simplify right side
    13,389x = 574,560,900
  5. Step 5: Solve for x
    x = 574,560,900/13,389
  6. Step 6: Final answer
    x = 42,912.91

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.