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Finding the Third Proportional to 1,948.75 and 4,171.25

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Solution

The third proportional to 1,948.75 and 4,171.25 is: 8,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.75 : 4,171.25 = 4,171.25 : x
  2. Step 2: Convert to fraction form
    1,948.75/4,171.25 = 4,171.25/x
  3. Step 3: Cross multiply
    1,948.75x = 4,171.25 × 4,171.25
  4. Step 4: Simplify right side
    1,948.75x = 17,399,326.56
  5. Step 5: Solve for x
    x = 17,399,326.56/1,948.75
  6. Step 6: Final answer
    x = 8,928.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.