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Finding the Third Proportional to 5,205.75 and 8,051.94

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Solution

The third proportional to 5,205.75 and 8,051.94 is: 12,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.75 : 8,051.94 = 8,051.94 : x
  2. Step 2: Convert to fraction form
    5,205.75/8,051.94 = 8,051.94/x
  3. Step 3: Cross multiply
    5,205.75x = 8,051.94 × 8,051.94
  4. Step 4: Simplify right side
    5,205.75x = 64,833,697.50
  5. Step 5: Solve for x
    x = 64,833,697.50/5,205.75
  6. Step 6: Final answer
    x = 12,454.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.