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Finding the Third Proportional to 1,415.46 and 3,048.96

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Solution

The third proportional to 1,415.46 and 3,048.96 is: 6,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.46 : 3,048.96 = 3,048.96 : x
  2. Step 2: Convert to fraction form
    1,415.46/3,048.96 = 3,048.96/x
  3. Step 3: Cross multiply
    1,415.46x = 3,048.96 × 3,048.96
  4. Step 4: Simplify right side
    1,415.46x = 9,296,162.80
  5. Step 5: Solve for x
    x = 9,296,162.80/1,415.46
  6. Step 6: Final answer
    x = 6,567.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.