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Finding the Third Proportional to 12,852.25 and 29,750.25

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Solution

The third proportional to 12,852.25 and 29,750.25 is: 68,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.25 : 29,750.25 = 29,750.25 : x
  2. Step 2: Convert to fraction form
    12,852.25/29,750.25 = 29,750.25/x
  3. Step 3: Cross multiply
    12,852.25x = 29,750.25 × 29,750.25
  4. Step 4: Simplify right side
    12,852.25x = 885,077,375.06
  5. Step 5: Solve for x
    x = 885,077,375.06/12,852.25
  6. Step 6: Final answer
    x = 68,865.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.