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Finding the Third Proportional to 21,872.53 and 47,936.81

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Solution

The third proportional to 21,872.53 and 47,936.81 is: 105,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.53 : 47,936.81 = 47,936.81 : x
  2. Step 2: Convert to fraction form
    21,872.53/47,936.81 = 47,936.81/x
  3. Step 3: Cross multiply
    21,872.53x = 47,936.81 × 47,936.81
  4. Step 4: Simplify right side
    21,872.53x = 2,297,937,992.66
  5. Step 5: Solve for x
    x = 2,297,937,992.66/21,872.53
  6. Step 6: Final answer
    x = 105,060.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.