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Finding the Third Proportional to 1,415.81 and 2,120.91

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Solution

The third proportional to 1,415.81 and 2,120.91 is: 3,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.81 : 2,120.91 = 2,120.91 : x
  2. Step 2: Convert to fraction form
    1,415.81/2,120.91 = 2,120.91/x
  3. Step 3: Cross multiply
    1,415.81x = 2,120.91 × 2,120.91
  4. Step 4: Simplify right side
    1,415.81x = 4,498,243.32
  5. Step 5: Solve for x
    x = 4,498,243.32/1,415.81
  6. Step 6: Final answer
    x = 3,177.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.