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Finding the Third Proportional to 1,973.44 and 3,078.94

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Solution

The third proportional to 1,973.44 and 3,078.94 is: 4,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.44 : 3,078.94 = 3,078.94 : x
  2. Step 2: Convert to fraction form
    1,973.44/3,078.94 = 3,078.94/x
  3. Step 3: Cross multiply
    1,973.44x = 3,078.94 × 3,078.94
  4. Step 4: Simplify right side
    1,973.44x = 9,479,856.13
  5. Step 5: Solve for x
    x = 9,479,856.13/1,973.44
  6. Step 6: Final answer
    x = 4,803.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.