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Finding the Third Proportional to 1,964.81 and 4,262.06

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Solution

The third proportional to 1,964.81 and 4,262.06 is: 9,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.81 : 4,262.06 = 4,262.06 : x
  2. Step 2: Convert to fraction form
    1,964.81/4,262.06 = 4,262.06/x
  3. Step 3: Cross multiply
    1,964.81x = 4,262.06 × 4,262.06
  4. Step 4: Simplify right side
    1,964.81x = 18,165,176.75
  5. Step 5: Solve for x
    x = 18,165,176.75/1,964.81
  6. Step 6: Final answer
    x = 9,245.25

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Why These Related Problems?

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