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Finding the Third Proportional to 13,033.88 and 20,985.75

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Solution

The third proportional to 13,033.88 and 20,985.75 is: 33,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.88 : 20,985.75 = 20,985.75 : x
  2. Step 2: Convert to fraction form
    13,033.88/20,985.75 = 20,985.75/x
  3. Step 3: Cross multiply
    13,033.88x = 20,985.75 × 20,985.75
  4. Step 4: Simplify right side
    13,033.88x = 440,401,703.06
  5. Step 5: Solve for x
    x = 440,401,703.06/13,033.88
  6. Step 6: Final answer
    x = 33,789.01

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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.