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Finding the Third Proportional to 12,516.75 and 26,759.25

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Solution

The third proportional to 12,516.75 and 26,759.25 is: 57,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516.75 : 26,759.25 = 26,759.25 : x
  2. Step 2: Convert to fraction form
    12,516.75/26,759.25 = 26,759.25/x
  3. Step 3: Cross multiply
    12,516.75x = 26,759.25 × 26,759.25
  4. Step 4: Simplify right side
    12,516.75x = 716,057,460.56
  5. Step 5: Solve for x
    x = 716,057,460.56/12,516.75
  6. Step 6: Final answer
    x = 57,207.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.