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Finding the Third Proportional to 5,907.94 and 9,129.38

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Solution

The third proportional to 5,907.94 and 9,129.38 is: 14,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.94 : 9,129.38 = 9,129.38 : x
  2. Step 2: Convert to fraction form
    5,907.94/9,129.38 = 9,129.38/x
  3. Step 3: Cross multiply
    5,907.94x = 9,129.38 × 9,129.38
  4. Step 4: Simplify right side
    5,907.94x = 83,345,487.89
  5. Step 5: Solve for x
    x = 83,345,487.89/5,907.94
  6. Step 6: Final answer
    x = 14,107.37

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