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Finding the Third Proportional to 1,575.28 and 2,107.27

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Solution

The third proportional to 1,575.28 and 2,107.27 is: 2,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.28 : 2,107.27 = 2,107.27 : x
  2. Step 2: Convert to fraction form
    1,575.28/2,107.27 = 2,107.27/x
  3. Step 3: Cross multiply
    1,575.28x = 2,107.27 × 2,107.27
  4. Step 4: Simplify right side
    1,575.28x = 4,440,568.41
  5. Step 5: Solve for x
    x = 4,440,568.41/1,575.28
  6. Step 6: Final answer
    x = 2,818.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.