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Finding the Third Proportional to 4,576.38 and 10,043.75

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Solution

The third proportional to 4,576.38 and 10,043.75 is: 22,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.38 : 10,043.75 = 10,043.75 : x
  2. Step 2: Convert to fraction form
    4,576.38/10,043.75 = 10,043.75/x
  3. Step 3: Cross multiply
    4,576.38x = 10,043.75 × 10,043.75
  4. Step 4: Simplify right side
    4,576.38x = 100,876,914.06
  5. Step 5: Solve for x
    x = 100,876,914.06/4,576.38
  6. Step 6: Final answer
    x = 22,042.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.