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Finding the Third Proportional to 37,384.03 and 80,638.03

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Solution

The third proportional to 37,384.03 and 80,638.03 is: 173,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,384.03 : 80,638.03 = 80,638.03 : x
  2. Step 2: Convert to fraction form
    37,384.03/80,638.03 = 80,638.03/x
  3. Step 3: Cross multiply
    37,384.03x = 80,638.03 × 80,638.03
  4. Step 4: Simplify right side
    37,384.03x = 6,502,492,083.88
  5. Step 5: Solve for x
    x = 6,502,492,083.88/37,384.03
  6. Step 6: Final answer
    x = 173,937.69

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