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Finding the Third Proportional to 3,492.28 and 7,751.53

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Solution

The third proportional to 3,492.28 and 7,751.53 is: 17,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.28 : 7,751.53 = 7,751.53 : x
  2. Step 2: Convert to fraction form
    3,492.28/7,751.53 = 7,751.53/x
  3. Step 3: Cross multiply
    3,492.28x = 7,751.53 × 7,751.53
  4. Step 4: Simplify right side
    3,492.28x = 60,086,236.72
  5. Step 5: Solve for x
    x = 60,086,236.72/3,492.28
  6. Step 6: Final answer
    x = 17,205.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.