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Finding the Third Proportional to 3,492 and 6,808.50

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Solution

The third proportional to 3,492 and 6,808.50 is: 13,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492 : 6,808.50 = 6,808.50 : x
  2. Step 2: Convert to fraction form
    3,492/6,808.50 = 6,808.50/x
  3. Step 3: Cross multiply
    3,492x = 6,808.50 × 6,808.50
  4. Step 4: Simplify right side
    3,492x = 46,355,672.25
  5. Step 5: Solve for x
    x = 46,355,672.25/3,492
  6. Step 6: Final answer
    x = 13,274.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.