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Finding the Third Proportional to 12,872.25 and 30,071.25

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Solution

The third proportional to 12,872.25 and 30,071.25 is: 70,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.25 : 30,071.25 = 30,071.25 : x
  2. Step 2: Convert to fraction form
    12,872.25/30,071.25 = 30,071.25/x
  3. Step 3: Cross multiply
    12,872.25x = 30,071.25 × 30,071.25
  4. Step 4: Simplify right side
    12,872.25x = 904,280,076.56
  5. Step 5: Solve for x
    x = 904,280,076.56/12,872.25
  6. Step 6: Final answer
    x = 70,250.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.