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Finding the Third Proportional to 14,194.50 and 30,525

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Solution

The third proportional to 14,194.50 and 30,525 is: 65,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.50 : 30,525 = 30,525 : x
  2. Step 2: Convert to fraction form
    14,194.50/30,525 = 30,525/x
  3. Step 3: Cross multiply
    14,194.50x = 30,525 × 30,525
  4. Step 4: Simplify right side
    14,194.50x = 931,775,625
  5. Step 5: Solve for x
    x = 931,775,625/14,194.50
  6. Step 6: Final answer
    x = 65,643.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.