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Finding the Third Proportional to 12,120 and 24,724

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Solution

The third proportional to 12,120 and 24,724 is: 50,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120 : 24,724 = 24,724 : x
  2. Step 2: Convert to fraction form
    12,120/24,724 = 24,724/x
  3. Step 3: Cross multiply
    12,120x = 24,724 × 24,724
  4. Step 4: Simplify right side
    12,120x = 611,276,176
  5. Step 5: Solve for x
    x = 611,276,176/12,120
  6. Step 6: Final answer
    x = 50,435.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.