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Finding the Third Proportional to 3,928.50 and 10,347.75

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Solution

The third proportional to 3,928.50 and 10,347.75 is: 27,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.50 : 10,347.75 = 10,347.75 : x
  2. Step 2: Convert to fraction form
    3,928.50/10,347.75 = 10,347.75/x
  3. Step 3: Cross multiply
    3,928.50x = 10,347.75 × 10,347.75
  4. Step 4: Simplify right side
    3,928.50x = 107,075,930.06
  5. Step 5: Solve for x
    x = 107,075,930.06/3,928.50
  6. Step 6: Final answer
    x = 27,256.19

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.