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Finding the Third Proportional to 12,571.69 and 26,176.81

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Solution

The third proportional to 12,571.69 and 26,176.81 is: 54,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.69 : 26,176.81 = 26,176.81 : x
  2. Step 2: Convert to fraction form
    12,571.69/26,176.81 = 26,176.81/x
  3. Step 3: Cross multiply
    12,571.69x = 26,176.81 × 26,176.81
  4. Step 4: Simplify right side
    12,571.69x = 685,225,512.66
  5. Step 5: Solve for x
    x = 685,225,512.66/12,571.69
  6. Step 6: Final answer
    x = 54,505.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.