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Finding the Third Proportional to 13,461 and 20,664

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Solution

The third proportional to 13,461 and 20,664 is: 31,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461 : 20,664 = 20,664 : x
  2. Step 2: Convert to fraction form
    13,461/20,664 = 20,664/x
  3. Step 3: Cross multiply
    13,461x = 20,664 × 20,664
  4. Step 4: Simplify right side
    13,461x = 427,000,896
  5. Step 5: Solve for x
    x = 427,000,896/13,461
  6. Step 6: Final answer
    x = 31,721.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.