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Finding the Third Proportional to 1,953.25 and 3,173.48

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Solution

The third proportional to 1,953.25 and 3,173.48 is: 5,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.25 : 3,173.48 = 3,173.48 : x
  2. Step 2: Convert to fraction form
    1,953.25/3,173.48 = 3,173.48/x
  3. Step 3: Cross multiply
    1,953.25x = 3,173.48 × 3,173.48
  4. Step 4: Simplify right side
    1,953.25x = 10,070,947.29
  5. Step 5: Solve for x
    x = 10,070,947.29/1,953.25
  6. Step 6: Final answer
    x = 5,155.98

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.