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Finding the Third Proportional to 4,871.25 and 10,620.75

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Solution

The third proportional to 4,871.25 and 10,620.75 is: 23,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.25 : 10,620.75 = 10,620.75 : x
  2. Step 2: Convert to fraction form
    4,871.25/10,620.75 = 10,620.75/x
  3. Step 3: Cross multiply
    4,871.25x = 10,620.75 × 10,620.75
  4. Step 4: Simplify right side
    4,871.25x = 112,800,330.56
  5. Step 5: Solve for x
    x = 112,800,330.56/4,871.25
  6. Step 6: Final answer
    x = 23,156.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.