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Finding the Third Proportional to 23,786.53 and 51,810.94

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Solution

The third proportional to 23,786.53 and 51,810.94 is: 112,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.53 : 51,810.94 = 51,810.94 : x
  2. Step 2: Convert to fraction form
    23,786.53/51,810.94 = 51,810.94/x
  3. Step 3: Cross multiply
    23,786.53x = 51,810.94 × 51,810.94
  4. Step 4: Simplify right side
    23,786.53x = 2,684,373,244.63
  5. Step 5: Solve for x
    x = 2,684,373,244.63/23,786.53
  6. Step 6: Final answer
    x = 112,852.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.