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Finding the Third Proportional to 1,442.81 and 2,154.09

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Solution

The third proportional to 1,442.81 and 2,154.09 is: 3,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.81 : 2,154.09 = 2,154.09 : x
  2. Step 2: Convert to fraction form
    1,442.81/2,154.09 = 2,154.09/x
  3. Step 3: Cross multiply
    1,442.81x = 2,154.09 × 2,154.09
  4. Step 4: Simplify right side
    1,442.81x = 4,640,119.88
  5. Step 5: Solve for x
    x = 4,640,119.88/1,442.81
  6. Step 6: Final answer
    x = 3,216.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.