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Finding the Third Proportional to 1,468.97 and 3,059.86

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Solution

The third proportional to 1,468.97 and 3,059.86 is: 6,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.97 : 3,059.86 = 3,059.86 : x
  2. Step 2: Convert to fraction form
    1,468.97/3,059.86 = 3,059.86/x
  3. Step 3: Cross multiply
    1,468.97x = 3,059.86 × 3,059.86
  4. Step 4: Simplify right side
    1,468.97x = 9,362,739.39
  5. Step 5: Solve for x
    x = 9,362,739.39/1,468.97
  6. Step 6: Final answer
    x = 6,373.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.