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Finding the Third Proportional to 995.63 and 2,141.25

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Solution

The third proportional to 995.63 and 2,141.25 is: 4,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.63 : 2,141.25 = 2,141.25 : x
  2. Step 2: Convert to fraction form
    995.63/2,141.25 = 2,141.25/x
  3. Step 3: Cross multiply
    995.63x = 2,141.25 × 2,141.25
  4. Step 4: Simplify right side
    995.63x = 4,584,951.56
  5. Step 5: Solve for x
    x = 4,584,951.56/995.63
  6. Step 6: Final answer
    x = 4,605.10

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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.