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Finding the Third Proportional to 37,664.44 and 51,095.25

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Solution

The third proportional to 37,664.44 and 51,095.25 is: 69,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664.44 : 51,095.25 = 51,095.25 : x
  2. Step 2: Convert to fraction form
    37,664.44/51,095.25 = 51,095.25/x
  3. Step 3: Cross multiply
    37,664.44x = 51,095.25 × 51,095.25
  4. Step 4: Simplify right side
    37,664.44x = 2,610,724,572.56
  5. Step 5: Solve for x
    x = 2,610,724,572.56/37,664.44
  6. Step 6: Final answer
    x = 69,315.37

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.