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Finding the Third Proportional to 4,815.28 and 10,310.20

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Solution

The third proportional to 4,815.28 and 10,310.20 is: 22,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.28 : 10,310.20 = 10,310.20 : x
  2. Step 2: Convert to fraction form
    4,815.28/10,310.20 = 10,310.20/x
  3. Step 3: Cross multiply
    4,815.28x = 10,310.20 × 10,310.20
  4. Step 4: Simplify right side
    4,815.28x = 106,300,288.48
  5. Step 5: Solve for x
    x = 106,300,288.48/4,815.28
  6. Step 6: Final answer
    x = 22,075.61

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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.