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Finding the Third Proportional to 37,307.36 and 80,522.86

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Solution

The third proportional to 37,307.36 and 80,522.86 is: 173,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,307.36 : 80,522.86 = 80,522.86 : x
  2. Step 2: Convert to fraction form
    37,307.36/80,522.86 = 80,522.86/x
  3. Step 3: Cross multiply
    37,307.36x = 80,522.86 × 80,522.86
  4. Step 4: Simplify right side
    37,307.36x = 6,483,930,881.93
  5. Step 5: Solve for x
    x = 6,483,930,881.93/37,307.36
  6. Step 6: Final answer
    x = 173,797.65

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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.