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Finding the Third Proportional to 995.41 and 2,136.80

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Solution

The third proportional to 995.41 and 2,136.80 is: 4,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.41 : 2,136.80 = 2,136.80 : x
  2. Step 2: Convert to fraction form
    995.41/2,136.80 = 2,136.80/x
  3. Step 3: Cross multiply
    995.41x = 2,136.80 × 2,136.80
  4. Step 4: Simplify right side
    995.41x = 4,565,900.89
  5. Step 5: Solve for x
    x = 4,565,900.89/995.41
  6. Step 6: Final answer
    x = 4,586.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.