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Finding the Third Proportional to 29,549 and 60,232

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Solution

The third proportional to 29,549 and 60,232 is: 122,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549 : 60,232 = 60,232 : x
  2. Step 2: Convert to fraction form
    29,549/60,232 = 60,232/x
  3. Step 3: Cross multiply
    29,549x = 60,232 × 60,232
  4. Step 4: Simplify right side
    29,549x = 3,627,893,824
  5. Step 5: Solve for x
    x = 3,627,893,824/29,549
  6. Step 6: Final answer
    x = 122,775.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.