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Finding the Third Proportional to 34,449.19 and 51,674.06

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Solution

The third proportional to 34,449.19 and 51,674.06 is: 77,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,449.19 : 51,674.06 = 51,674.06 : x
  2. Step 2: Convert to fraction form
    34,449.19/51,674.06 = 51,674.06/x
  3. Step 3: Cross multiply
    34,449.19x = 51,674.06 × 51,674.06
  4. Step 4: Simplify right side
    34,449.19x = 2,670,208,735.25
  5. Step 5: Solve for x
    x = 2,670,208,735.25/34,449.19
  6. Step 6: Final answer
    x = 77,511.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.