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Finding the Third Proportional to 7,119 and 8,050.50

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Solution

The third proportional to 7,119 and 8,050.50 is: 9,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119 : 8,050.50 = 8,050.50 : x
  2. Step 2: Convert to fraction form
    7,119/8,050.50 = 8,050.50/x
  3. Step 3: Cross multiply
    7,119x = 8,050.50 × 8,050.50
  4. Step 4: Simplify right side
    7,119x = 64,810,550.25
  5. Step 5: Solve for x
    x = 64,810,550.25/7,119
  6. Step 6: Final answer
    x = 9,103.88

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.