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Finding the Third Proportional to 10,571 and 14,779

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Solution

The third proportional to 10,571 and 14,779 is: 20,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571 : 14,779 = 14,779 : x
  2. Step 2: Convert to fraction form
    10,571/14,779 = 14,779/x
  3. Step 3: Cross multiply
    10,571x = 14,779 × 14,779
  4. Step 4: Simplify right side
    10,571x = 218,418,841
  5. Step 5: Solve for x
    x = 218,418,841/10,571
  6. Step 6: Final answer
    x = 20,662.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.