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Finding the Third Proportional to 13,100 and 18,412

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Solution

The third proportional to 13,100 and 18,412 is: 25,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100 : 18,412 = 18,412 : x
  2. Step 2: Convert to fraction form
    13,100/18,412 = 18,412/x
  3. Step 3: Cross multiply
    13,100x = 18,412 × 18,412
  4. Step 4: Simplify right side
    13,100x = 339,001,744
  5. Step 5: Solve for x
    x = 339,001,744/13,100
  6. Step 6: Final answer
    x = 25,878.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.