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Finding the Third Proportional to 37,050 and 79,891

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Solution

The third proportional to 37,050 and 79,891 is: 172,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,050 : 79,891 = 79,891 : x
  2. Step 2: Convert to fraction form
    37,050/79,891 = 79,891/x
  3. Step 3: Cross multiply
    37,050x = 79,891 × 79,891
  4. Step 4: Simplify right side
    37,050x = 6,382,571,881
  5. Step 5: Solve for x
    x = 6,382,571,881/37,050
  6. Step 6: Final answer
    x = 172,269.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.