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Finding the Third Proportional to 24,747 and 55,014

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Solution

The third proportional to 24,747 and 55,014 is: 122,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747 : 55,014 = 55,014 : x
  2. Step 2: Convert to fraction form
    24,747/55,014 = 55,014/x
  3. Step 3: Cross multiply
    24,747x = 55,014 × 55,014
  4. Step 4: Simplify right side
    24,747x = 3,026,540,196
  5. Step 5: Solve for x
    x = 3,026,540,196/24,747
  6. Step 6: Final answer
    x = 122,299.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.