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Finding the Third Proportional to 2,155.99 and 3,051.42

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Solution

The third proportional to 2,155.99 and 3,051.42 is: 4,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.99 : 3,051.42 = 3,051.42 : x
  2. Step 2: Convert to fraction form
    2,155.99/3,051.42 = 3,051.42/x
  3. Step 3: Cross multiply
    2,155.99x = 3,051.42 × 3,051.42
  4. Step 4: Simplify right side
    2,155.99x = 9,311,175.46
  5. Step 5: Solve for x
    x = 9,311,175.46/2,155.99
  6. Step 6: Final answer
    x = 4,318.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.