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Finding the Third Proportional to 1,576.13 and 3,339.14

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Solution

The third proportional to 1,576.13 and 3,339.14 is: 7,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.13 : 3,339.14 = 3,339.14 : x
  2. Step 2: Convert to fraction form
    1,576.13/3,339.14 = 3,339.14/x
  3. Step 3: Cross multiply
    1,576.13x = 3,339.14 × 3,339.14
  4. Step 4: Simplify right side
    1,576.13x = 11,149,860.11
  5. Step 5: Solve for x
    x = 11,149,860.11/1,576.13
  6. Step 6: Final answer
    x = 7,074.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.