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Finding the Third Proportional to 37,315.69 and 82,012.50

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Solution

The third proportional to 37,315.69 and 82,012.50 is: 180,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,315.69 : 82,012.50 = 82,012.50 : x
  2. Step 2: Convert to fraction form
    37,315.69/82,012.50 = 82,012.50/x
  3. Step 3: Cross multiply
    37,315.69x = 82,012.50 × 82,012.50
  4. Step 4: Simplify right side
    37,315.69x = 6,726,050,156.25
  5. Step 5: Solve for x
    x = 6,726,050,156.25/37,315.69
  6. Step 6: Final answer
    x = 180,247.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.