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Finding the Third Proportional to 24,512.63 and 53,535.94

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Solution

The third proportional to 24,512.63 and 53,535.94 is: 116,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.63 : 53,535.94 = 53,535.94 : x
  2. Step 2: Convert to fraction form
    24,512.63/53,535.94 = 53,535.94/x
  3. Step 3: Cross multiply
    24,512.63x = 53,535.94 × 53,535.94
  4. Step 4: Simplify right side
    24,512.63x = 2,866,096,604.00
  5. Step 5: Solve for x
    x = 2,866,096,604.00/24,512.63
  6. Step 6: Final answer
    x = 116,923.28

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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.