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Finding the Third Proportional to 23,667.19 and 51,706.69

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Solution

The third proportional to 23,667.19 and 51,706.69 is: 112,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.19 : 51,706.69 = 51,706.69 : x
  2. Step 2: Convert to fraction form
    23,667.19/51,706.69 = 51,706.69/x
  3. Step 3: Cross multiply
    23,667.19x = 51,706.69 × 51,706.69
  4. Step 4: Simplify right side
    23,667.19x = 2,673,581,532.22
  5. Step 5: Solve for x
    x = 2,673,581,532.22/23,667.19
  6. Step 6: Final answer
    x = 112,965.75

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Why These Related Problems?

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