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Finding the Third Proportional to 28,284 and 60,456

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Solution

The third proportional to 28,284 and 60,456 is: 129,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284 : 60,456 = 60,456 : x
  2. Step 2: Convert to fraction form
    28,284/60,456 = 60,456/x
  3. Step 3: Cross multiply
    28,284x = 60,456 × 60,456
  4. Step 4: Simplify right side
    28,284x = 3,654,927,936
  5. Step 5: Solve for x
    x = 3,654,927,936/28,284
  6. Step 6: Final answer
    x = 129,222.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.