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Finding the Third Proportional to 13,026 and 20,391

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Solution

The third proportional to 13,026 and 20,391 is: 31,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026 : 20,391 = 20,391 : x
  2. Step 2: Convert to fraction form
    13,026/20,391 = 20,391/x
  3. Step 3: Cross multiply
    13,026x = 20,391 × 20,391
  4. Step 4: Simplify right side
    13,026x = 415,792,881
  5. Step 5: Solve for x
    x = 415,792,881/13,026
  6. Step 6: Final answer
    x = 31,920.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.