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Finding the Third Proportional to 31,704 and 46,637.25

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Solution

The third proportional to 31,704 and 46,637.25 is: 68,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704 : 46,637.25 = 46,637.25 : x
  2. Step 2: Convert to fraction form
    31,704/46,637.25 = 46,637.25/x
  3. Step 3: Cross multiply
    31,704x = 46,637.25 × 46,637.25
  4. Step 4: Simplify right side
    31,704x = 2,175,033,087.56
  5. Step 5: Solve for x
    x = 2,175,033,087.56/31,704
  6. Step 6: Final answer
    x = 68,604.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.