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Finding the Third Proportional to 11,720.44 and 23,876.06

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Solution

The third proportional to 11,720.44 and 23,876.06 is: 48,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.44 : 23,876.06 = 23,876.06 : x
  2. Step 2: Convert to fraction form
    11,720.44/23,876.06 = 23,876.06/x
  3. Step 3: Cross multiply
    11,720.44x = 23,876.06 × 23,876.06
  4. Step 4: Simplify right side
    11,720.44x = 570,066,360.50
  5. Step 5: Solve for x
    x = 570,066,360.50/11,720.44
  6. Step 6: Final answer
    x = 48,638.66

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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.