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Finding the Third Proportional to 1,955.81 and 2,933.16

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Solution

The third proportional to 1,955.81 and 2,933.16 is: 4,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.81 : 2,933.16 = 2,933.16 : x
  2. Step 2: Convert to fraction form
    1,955.81/2,933.16 = 2,933.16/x
  3. Step 3: Cross multiply
    1,955.81x = 2,933.16 × 2,933.16
  4. Step 4: Simplify right side
    1,955.81x = 8,603,405.59
  5. Step 5: Solve for x
    x = 8,603,405.59/1,955.81
  6. Step 6: Final answer
    x = 4,398.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.