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Finding the Third Proportional to 3,505.50 and 5,454

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Solution

The third proportional to 3,505.50 and 5,454 is: 8,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.50 : 5,454 = 5,454 : x
  2. Step 2: Convert to fraction form
    3,505.50/5,454 = 5,454/x
  3. Step 3: Cross multiply
    3,505.50x = 5,454 × 5,454
  4. Step 4: Simplify right side
    3,505.50x = 29,746,116
  5. Step 5: Solve for x
    x = 29,746,116/3,505.50
  6. Step 6: Final answer
    x = 8,485.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.