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Finding the Third Proportional to 49,824 and 74,880

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Solution

The third proportional to 49,824 and 74,880 is: 112,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,824 : 74,880 = 74,880 : x
  2. Step 2: Convert to fraction form
    49,824/74,880 = 74,880/x
  3. Step 3: Cross multiply
    49,824x = 74,880 × 74,880
  4. Step 4: Simplify right side
    49,824x = 5,607,014,400
  5. Step 5: Solve for x
    x = 5,607,014,400/49,824
  6. Step 6: Final answer
    x = 112,536.42

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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.