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Finding the Third Proportional to 37,181.72 and 72,495.38

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Solution

The third proportional to 37,181.72 and 72,495.38 is: 141,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,181.72 : 72,495.38 = 72,495.38 : x
  2. Step 2: Convert to fraction form
    37,181.72/72,495.38 = 72,495.38/x
  3. Step 3: Cross multiply
    37,181.72x = 72,495.38 × 72,495.38
  4. Step 4: Simplify right side
    37,181.72x = 5,255,579,396.39
  5. Step 5: Solve for x
    x = 5,255,579,396.39/37,181.72
  6. Step 6: Final answer
    x = 141,348.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.