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Finding the Third Proportional to 36,999 and 54,094.50

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Solution

The third proportional to 36,999 and 54,094.50 is: 79,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,999 : 54,094.50 = 54,094.50 : x
  2. Step 2: Convert to fraction form
    36,999/54,094.50 = 54,094.50/x
  3. Step 3: Cross multiply
    36,999x = 54,094.50 × 54,094.50
  4. Step 4: Simplify right side
    36,999x = 2,926,214,930.25
  5. Step 5: Solve for x
    x = 2,926,214,930.25/36,999
  6. Step 6: Final answer
    x = 79,089.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.