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Finding the Third Proportional to 24,742 and 51,232

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Solution

The third proportional to 24,742 and 51,232 is: 106,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742 : 51,232 = 51,232 : x
  2. Step 2: Convert to fraction form
    24,742/51,232 = 51,232/x
  3. Step 3: Cross multiply
    24,742x = 51,232 × 51,232
  4. Step 4: Simplify right side
    24,742x = 2,624,717,824
  5. Step 5: Solve for x
    x = 2,624,717,824/24,742
  6. Step 6: Final answer
    x = 106,083.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.