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Finding the Third Proportional to 5,051.88 and 10,967.75

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Solution

The third proportional to 5,051.88 and 10,967.75 is: 23,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.88 : 10,967.75 = 10,967.75 : x
  2. Step 2: Convert to fraction form
    5,051.88/10,967.75 = 10,967.75/x
  3. Step 3: Cross multiply
    5,051.88x = 10,967.75 × 10,967.75
  4. Step 4: Simplify right side
    5,051.88x = 120,291,540.06
  5. Step 5: Solve for x
    x = 120,291,540.06/5,051.88
  6. Step 6: Final answer
    x = 23,811.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.