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Finding the Third Proportional to 48,280 and 76,824

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Solution

The third proportional to 48,280 and 76,824 is: 122,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,280 : 76,824 = 76,824 : x
  2. Step 2: Convert to fraction form
    48,280/76,824 = 76,824/x
  3. Step 3: Cross multiply
    48,280x = 76,824 × 76,824
  4. Step 4: Simplify right side
    48,280x = 5,901,926,976
  5. Step 5: Solve for x
    x = 5,901,926,976/48,280
  6. Step 6: Final answer
    x = 122,243.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.