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Finding the Third Proportional to 3,354.75 and 5,373.84

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Solution

The third proportional to 3,354.75 and 5,373.84 is: 8,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.75 : 5,373.84 = 5,373.84 : x
  2. Step 2: Convert to fraction form
    3,354.75/5,373.84 = 5,373.84/x
  3. Step 3: Cross multiply
    3,354.75x = 5,373.84 × 5,373.84
  4. Step 4: Simplify right side
    3,354.75x = 28,878,196.65
  5. Step 5: Solve for x
    x = 28,878,196.65/3,354.75
  6. Step 6: Final answer
    x = 8,608.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.