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Finding the Third Proportional to 6,412 and 13,525

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Solution

The third proportional to 6,412 and 13,525 is: 28,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 13,525 = 13,525 : x
  2. Step 2: Convert to fraction form
    6,412/13,525 = 13,525/x
  3. Step 3: Cross multiply
    6,412x = 13,525 × 13,525
  4. Step 4: Simplify right side
    6,412x = 182,925,625
  5. Step 5: Solve for x
    x = 182,925,625/6,412
  6. Step 6: Final answer
    x = 28,528.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.