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Finding the Third Proportional to 15,814 and 33,575

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Solution

The third proportional to 15,814 and 33,575 is: 71,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814 : 33,575 = 33,575 : x
  2. Step 2: Convert to fraction form
    15,814/33,575 = 33,575/x
  3. Step 3: Cross multiply
    15,814x = 33,575 × 33,575
  4. Step 4: Simplify right side
    15,814x = 1,127,280,625
  5. Step 5: Solve for x
    x = 1,127,280,625/15,814
  6. Step 6: Final answer
    x = 71,283.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.