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Finding the Third Proportional to 10,951.88 and 23,967.56

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Solution

The third proportional to 10,951.88 and 23,967.56 is: 52,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.88 : 23,967.56 = 23,967.56 : x
  2. Step 2: Convert to fraction form
    10,951.88/23,967.56 = 23,967.56/x
  3. Step 3: Cross multiply
    10,951.88x = 23,967.56 × 23,967.56
  4. Step 4: Simplify right side
    10,951.88x = 574,444,052.19
  5. Step 5: Solve for x
    x = 574,444,052.19/10,951.88
  6. Step 6: Final answer
    x = 52,451.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.