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Finding the Third Proportional to 6,934.50 and 16,274.25

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Solution

The third proportional to 6,934.50 and 16,274.25 is: 38,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.50 : 16,274.25 = 16,274.25 : x
  2. Step 2: Convert to fraction form
    6,934.50/16,274.25 = 16,274.25/x
  3. Step 3: Cross multiply
    6,934.50x = 16,274.25 × 16,274.25
  4. Step 4: Simplify right side
    6,934.50x = 264,851,213.06
  5. Step 5: Solve for x
    x = 264,851,213.06/6,934.50
  6. Step 6: Final answer
    x = 38,193.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.