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Finding the Third Proportional to 2,960.14 and 6,420.04

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Solution

The third proportional to 2,960.14 and 6,420.04 is: 13,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.14 : 6,420.04 = 6,420.04 : x
  2. Step 2: Convert to fraction form
    2,960.14/6,420.04 = 6,420.04/x
  3. Step 3: Cross multiply
    2,960.14x = 6,420.04 × 6,420.04
  4. Step 4: Simplify right side
    2,960.14x = 41,216,926.64
  5. Step 5: Solve for x
    x = 41,216,926.64/2,960.14
  6. Step 6: Final answer
    x = 13,923.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.