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Finding the Third Proportional to 2,155.69 and 3,079.88

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Solution

The third proportional to 2,155.69 and 3,079.88 is: 4,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.69 : 3,079.88 = 3,079.88 : x
  2. Step 2: Convert to fraction form
    2,155.69/3,079.88 = 3,079.88/x
  3. Step 3: Cross multiply
    2,155.69x = 3,079.88 × 3,079.88
  4. Step 4: Simplify right side
    2,155.69x = 9,485,630.02
  5. Step 5: Solve for x
    x = 9,485,630.02/2,155.69
  6. Step 6: Final answer
    x = 4,400.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.