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Finding the Third Proportional to 37,666.69 and 58,321.69

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Solution

The third proportional to 37,666.69 and 58,321.69 is: 90,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666.69 : 58,321.69 = 58,321.69 : x
  2. Step 2: Convert to fraction form
    37,666.69/58,321.69 = 58,321.69/x
  3. Step 3: Cross multiply
    37,666.69x = 58,321.69 × 58,321.69
  4. Step 4: Simplify right side
    37,666.69x = 3,401,419,232.85
  5. Step 5: Solve for x
    x = 3,401,419,232.85/37,666.69
  6. Step 6: Final answer
    x = 90,303.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.