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Finding the Third Proportional to 12,571.45 and 26,175.66

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Solution

The third proportional to 12,571.45 and 26,175.66 is: 54,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.45 : 26,175.66 = 26,175.66 : x
  2. Step 2: Convert to fraction form
    12,571.45/26,175.66 = 26,175.66/x
  3. Step 3: Cross multiply
    12,571.45x = 26,175.66 × 26,175.66
  4. Step 4: Simplify right side
    12,571.45x = 685,164,980.12
  5. Step 5: Solve for x
    x = 685,164,980.12/12,571.45
  6. Step 6: Final answer
    x = 54,501.65

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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.