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Finding the Third Proportional to 1,952.44 and 4,641.19

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Solution

The third proportional to 1,952.44 and 4,641.19 is: 11,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.44 : 4,641.19 = 4,641.19 : x
  2. Step 2: Convert to fraction form
    1,952.44/4,641.19 = 4,641.19/x
  3. Step 3: Cross multiply
    1,952.44x = 4,641.19 × 4,641.19
  4. Step 4: Simplify right side
    1,952.44x = 21,540,621.41
  5. Step 5: Solve for x
    x = 21,540,621.41/1,952.44
  6. Step 6: Final answer
    x = 11,032.68

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.