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Finding the Third Proportional to 8,412 and 13,012

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Solution

The third proportional to 8,412 and 13,012 is: 20,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412 : 13,012 = 13,012 : x
  2. Step 2: Convert to fraction form
    8,412/13,012 = 13,012/x
  3. Step 3: Cross multiply
    8,412x = 13,012 × 13,012
  4. Step 4: Simplify right side
    8,412x = 169,312,144
  5. Step 5: Solve for x
    x = 169,312,144/8,412
  6. Step 6: Final answer
    x = 20,127.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.