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Finding the Third Proportional to 12,409.88 and 26,763.38

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Solution

The third proportional to 12,409.88 and 26,763.38 is: 57,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.88 : 26,763.38 = 26,763.38 : x
  2. Step 2: Convert to fraction form
    12,409.88/26,763.38 = 26,763.38/x
  3. Step 3: Cross multiply
    12,409.88x = 26,763.38 × 26,763.38
  4. Step 4: Simplify right side
    12,409.88x = 716,278,241.39
  5. Step 5: Solve for x
    x = 716,278,241.39/12,409.88
  6. Step 6: Final answer
    x = 57,718.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.