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Finding the Third Proportional to 36,844 and 78,072

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Solution

The third proportional to 36,844 and 78,072 is: 165,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,844 : 78,072 = 78,072 : x
  2. Step 2: Convert to fraction form
    36,844/78,072 = 78,072/x
  3. Step 3: Cross multiply
    36,844x = 78,072 × 78,072
  4. Step 4: Simplify right side
    36,844x = 6,095,237,184
  5. Step 5: Solve for x
    x = 6,095,237,184/36,844
  6. Step 6: Final answer
    x = 165,433.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.