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Finding the Third Proportional to 48,584 and 104,824

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Solution

The third proportional to 48,584 and 104,824 is: 226,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,584 : 104,824 = 104,824 : x
  2. Step 2: Convert to fraction form
    48,584/104,824 = 104,824/x
  3. Step 3: Cross multiply
    48,584x = 104,824 × 104,824
  4. Step 4: Simplify right side
    48,584x = 10,988,070,976
  5. Step 5: Solve for x
    x = 10,988,070,976/48,584
  6. Step 6: Final answer
    x = 226,166.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.