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Finding the Third Proportional to 31,136.38 and 49,568.25

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Solution

The third proportional to 31,136.38 and 49,568.25 is: 78,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,136.38 : 49,568.25 = 49,568.25 : x
  2. Step 2: Convert to fraction form
    31,136.38/49,568.25 = 49,568.25/x
  3. Step 3: Cross multiply
    31,136.38x = 49,568.25 × 49,568.25
  4. Step 4: Simplify right side
    31,136.38x = 2,457,011,408.06
  5. Step 5: Solve for x
    x = 2,457,011,408.06/31,136.38
  6. Step 6: Final answer
    x = 78,911.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.