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Finding the Third Proportional to 1,423.99 and 2,961.40

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Solution

The third proportional to 1,423.99 and 2,961.40 is: 6,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.99 : 2,961.40 = 2,961.40 : x
  2. Step 2: Convert to fraction form
    1,423.99/2,961.40 = 2,961.40/x
  3. Step 3: Cross multiply
    1,423.99x = 2,961.40 × 2,961.40
  4. Step 4: Simplify right side
    1,423.99x = 8,769,915.41
  5. Step 5: Solve for x
    x = 8,769,915.41/1,423.99
  6. Step 6: Final answer
    x = 6,158.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.