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Finding the Third Proportional to 12,445 and 27,077.25

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Solution

The third proportional to 12,445 and 27,077.25 is: 58,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,445 : 27,077.25 = 27,077.25 : x
  2. Step 2: Convert to fraction form
    12,445/27,077.25 = 27,077.25/x
  3. Step 3: Cross multiply
    12,445x = 27,077.25 × 27,077.25
  4. Step 4: Simplify right side
    12,445x = 733,177,467.56
  5. Step 5: Solve for x
    x = 733,177,467.56/12,445
  6. Step 6: Final answer
    x = 58,913.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.