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Finding the Third Proportional to 12,020 and 24,996

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Solution

The third proportional to 12,020 and 24,996 is: 51,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020 : 24,996 = 24,996 : x
  2. Step 2: Convert to fraction form
    12,020/24,996 = 24,996/x
  3. Step 3: Cross multiply
    12,020x = 24,996 × 24,996
  4. Step 4: Simplify right side
    12,020x = 624,800,016
  5. Step 5: Solve for x
    x = 624,800,016/12,020
  6. Step 6: Final answer
    x = 51,980.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.