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Finding the Third Proportional to 13,034 and 20,985

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Solution

The third proportional to 13,034 and 20,985 is: 33,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034 : 20,985 = 20,985 : x
  2. Step 2: Convert to fraction form
    13,034/20,985 = 20,985/x
  3. Step 3: Cross multiply
    13,034x = 20,985 × 20,985
  4. Step 4: Simplify right side
    13,034x = 440,370,225
  5. Step 5: Solve for x
    x = 440,370,225/13,034
  6. Step 6: Final answer
    x = 33,786.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.