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Finding the Third Proportional to 49,824 and 74,796

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Solution

The third proportional to 49,824 and 74,796 is: 112,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,824 : 74,796 = 74,796 : x
  2. Step 2: Convert to fraction form
    49,824/74,796 = 74,796/x
  3. Step 3: Cross multiply
    49,824x = 74,796 × 74,796
  4. Step 4: Simplify right side
    49,824x = 5,594,441,616
  5. Step 5: Solve for x
    x = 5,594,441,616/49,824
  6. Step 6: Final answer
    x = 112,284.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.