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Finding the Third Proportional to 1,415.92 and 3,059.65

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Solution

The third proportional to 1,415.92 and 3,059.65 is: 6,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.92 : 3,059.65 = 3,059.65 : x
  2. Step 2: Convert to fraction form
    1,415.92/3,059.65 = 3,059.65/x
  3. Step 3: Cross multiply
    1,415.92x = 3,059.65 × 3,059.65
  4. Step 4: Simplify right side
    1,415.92x = 9,361,448.56
  5. Step 5: Solve for x
    x = 9,361,448.56/1,415.92
  6. Step 6: Final answer
    x = 6,611.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.