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Finding the Third Proportional to 45,591 and 97,995

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Solution

The third proportional to 45,591 and 97,995 is: 210,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,591 : 97,995 = 97,995 : x
  2. Step 2: Convert to fraction form
    45,591/97,995 = 97,995/x
  3. Step 3: Cross multiply
    45,591x = 97,995 × 97,995
  4. Step 4: Simplify right side
    45,591x = 9,603,020,025
  5. Step 5: Solve for x
    x = 9,603,020,025/45,591
  6. Step 6: Final answer
    x = 210,634.12

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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.