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Finding the Third Proportional to 10,525 and 16,421

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Solution

The third proportional to 10,525 and 16,421 is: 25,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525 : 16,421 = 16,421 : x
  2. Step 2: Convert to fraction form
    10,525/16,421 = 16,421/x
  3. Step 3: Cross multiply
    10,525x = 16,421 × 16,421
  4. Step 4: Simplify right side
    10,525x = 269,649,241
  5. Step 5: Solve for x
    x = 269,649,241/10,525
  6. Step 6: Final answer
    x = 25,619.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.