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Finding the Third Proportional to 13,252 and 21,462

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Solution

The third proportional to 13,252 and 21,462 is: 34,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252 : 21,462 = 21,462 : x
  2. Step 2: Convert to fraction form
    13,252/21,462 = 21,462/x
  3. Step 3: Cross multiply
    13,252x = 21,462 × 21,462
  4. Step 4: Simplify right side
    13,252x = 460,617,444
  5. Step 5: Solve for x
    x = 460,617,444/13,252
  6. Step 6: Final answer
    x = 34,758.33

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.