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Finding the Third Proportional to 37,315.69 and 81,317.67

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Solution

The third proportional to 37,315.69 and 81,317.67 is: 177,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,315.69 : 81,317.67 = 81,317.67 : x
  2. Step 2: Convert to fraction form
    37,315.69/81,317.67 = 81,317.67/x
  3. Step 3: Cross multiply
    37,315.69x = 81,317.67 × 81,317.67
  4. Step 4: Simplify right side
    37,315.69x = 6,612,563,759.17
  5. Step 5: Solve for x
    x = 6,612,563,759.17/37,315.69
  6. Step 6: Final answer
    x = 177,206.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.