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Finding the Third Proportional to 7,284.94 and 8,069.63

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Solution

The third proportional to 7,284.94 and 8,069.63 is: 8,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.94 : 8,069.63 = 8,069.63 : x
  2. Step 2: Convert to fraction form
    7,284.94/8,069.63 = 8,069.63/x
  3. Step 3: Cross multiply
    7,284.94x = 8,069.63 × 8,069.63
  4. Step 4: Simplify right side
    7,284.94x = 65,118,847.64
  5. Step 5: Solve for x
    x = 65,118,847.64/7,284.94
  6. Step 6: Final answer
    x = 8,938.83

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.