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Finding the Third Proportional to 12,959.75 and 27,302.75

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Solution

The third proportional to 12,959.75 and 27,302.75 is: 57,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.75 : 27,302.75 = 27,302.75 : x
  2. Step 2: Convert to fraction form
    12,959.75/27,302.75 = 27,302.75/x
  3. Step 3: Cross multiply
    12,959.75x = 27,302.75 × 27,302.75
  4. Step 4: Simplify right side
    12,959.75x = 745,440,157.56
  5. Step 5: Solve for x
    x = 745,440,157.56/12,959.75
  6. Step 6: Final answer
    x = 57,519.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.