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Finding the Third Proportional to 23,667.94 and 51,862.59

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Solution

The third proportional to 23,667.94 and 51,862.59 is: 113,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.94 : 51,862.59 = 51,862.59 : x
  2. Step 2: Convert to fraction form
    23,667.94/51,862.59 = 51,862.59/x
  3. Step 3: Cross multiply
    23,667.94x = 51,862.59 × 51,862.59
  4. Step 4: Simplify right side
    23,667.94x = 2,689,728,630.48
  5. Step 5: Solve for x
    x = 2,689,728,630.48/23,667.94
  6. Step 6: Final answer
    x = 113,644.40

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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.