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Finding the Third Proportional to 1,960.61 and 4,309.93

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Solution

The third proportional to 1,960.61 and 4,309.93 is: 9,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.61 : 4,309.93 = 4,309.93 : x
  2. Step 2: Convert to fraction form
    1,960.61/4,309.93 = 4,309.93/x
  3. Step 3: Cross multiply
    1,960.61x = 4,309.93 × 4,309.93
  4. Step 4: Simplify right side
    1,960.61x = 18,575,477.08
  5. Step 5: Solve for x
    x = 18,575,477.08/1,960.61
  6. Step 6: Final answer
    x = 9,474.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.