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Finding the Third Proportional to 1,072.14 and 2,575.71

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Solution

The third proportional to 1,072.14 and 2,575.71 is: 6,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.14 : 2,575.71 = 2,575.71 : x
  2. Step 2: Convert to fraction form
    1,072.14/2,575.71 = 2,575.71/x
  3. Step 3: Cross multiply
    1,072.14x = 2,575.71 × 2,575.71
  4. Step 4: Simplify right side
    1,072.14x = 6,634,256.65
  5. Step 5: Solve for x
    x = 6,634,256.65/1,072.14
  6. Step 6: Final answer
    x = 6,187.85

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.