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Finding the Third Proportional to 1,576.13 and 4,028.06

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Solution

The third proportional to 1,576.13 and 4,028.06 is: 10,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.13 : 4,028.06 = 4,028.06 : x
  2. Step 2: Convert to fraction form
    1,576.13/4,028.06 = 4,028.06/x
  3. Step 3: Cross multiply
    1,576.13x = 4,028.06 × 4,028.06
  4. Step 4: Simplify right side
    1,576.13x = 16,225,287.50
  5. Step 5: Solve for x
    x = 16,225,287.50/1,576.13
  6. Step 6: Final answer
    x = 10,294.42

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.