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Finding the Third Proportional to 28,824 and 62,016

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Solution

The third proportional to 28,824 and 62,016 is: 133,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,824 : 62,016 = 62,016 : x
  2. Step 2: Convert to fraction form
    28,824/62,016 = 62,016/x
  3. Step 3: Cross multiply
    28,824x = 62,016 × 62,016
  4. Step 4: Simplify right side
    28,824x = 3,845,984,256
  5. Step 5: Solve for x
    x = 3,845,984,256/28,824
  6. Step 6: Final answer
    x = 133,429.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.