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Finding the Third Proportional to 995.75 and 1,901.50

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Solution

The third proportional to 995.75 and 1,901.50 is: 3,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.75 : 1,901.50 = 1,901.50 : x
  2. Step 2: Convert to fraction form
    995.75/1,901.50 = 1,901.50/x
  3. Step 3: Cross multiply
    995.75x = 1,901.50 × 1,901.50
  4. Step 4: Simplify right side
    995.75x = 3,615,702.25
  5. Step 5: Solve for x
    x = 3,615,702.25/995.75
  6. Step 6: Final answer
    x = 3,631.13

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.