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Finding the Third Proportional to 5,907.94 and 8,697.38

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Solution

The third proportional to 5,907.94 and 8,697.38 is: 12,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.94 : 8,697.38 = 8,697.38 : x
  2. Step 2: Convert to fraction form
    5,907.94/8,697.38 = 8,697.38/x
  3. Step 3: Cross multiply
    5,907.94x = 8,697.38 × 8,697.38
  4. Step 4: Simplify right side
    5,907.94x = 75,644,331.89
  5. Step 5: Solve for x
    x = 75,644,331.89/5,907.94
  6. Step 6: Final answer
    x = 12,803.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.