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Finding the Third Proportional to 35,812.13 and 49,161.94

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Solution

The third proportional to 35,812.13 and 49,161.94 is: 67,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.13 : 49,161.94 = 49,161.94 : x
  2. Step 2: Convert to fraction form
    35,812.13/49,161.94 = 49,161.94/x
  3. Step 3: Cross multiply
    35,812.13x = 49,161.94 × 49,161.94
  4. Step 4: Simplify right side
    35,812.13x = 2,416,896,098.75
  5. Step 5: Solve for x
    x = 2,416,896,098.75/35,812.13
  6. Step 6: Final answer
    x = 67,488.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.