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Finding the Third Proportional to 18,274.50 and 37,985.44

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Solution

The third proportional to 18,274.50 and 37,985.44 is: 78,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.50 : 37,985.44 = 37,985.44 : x
  2. Step 2: Convert to fraction form
    18,274.50/37,985.44 = 37,985.44/x
  3. Step 3: Cross multiply
    18,274.50x = 37,985.44 × 37,985.44
  4. Step 4: Simplify right side
    18,274.50x = 1,442,893,462.07
  5. Step 5: Solve for x
    x = 1,442,893,462.07/18,274.50
  6. Step 6: Final answer
    x = 78,956.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.