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Finding the Third Proportional to 2,124.84 and 3,195.42

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Solution

The third proportional to 2,124.84 and 3,195.42 is: 4,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.84 : 3,195.42 = 3,195.42 : x
  2. Step 2: Convert to fraction form
    2,124.84/3,195.42 = 3,195.42/x
  3. Step 3: Cross multiply
    2,124.84x = 3,195.42 × 3,195.42
  4. Step 4: Simplify right side
    2,124.84x = 10,210,720.96
  5. Step 5: Solve for x
    x = 10,210,720.96/2,124.84
  6. Step 6: Final answer
    x = 4,805.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.