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Finding the Third Proportional to 4,967.44 and 10,857.66

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Solution

The third proportional to 4,967.44 and 10,857.66 is: 23,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.44 : 10,857.66 = 10,857.66 : x
  2. Step 2: Convert to fraction form
    4,967.44/10,857.66 = 10,857.66/x
  3. Step 3: Cross multiply
    4,967.44x = 10,857.66 × 10,857.66
  4. Step 4: Simplify right side
    4,967.44x = 117,888,699.24
  5. Step 5: Solve for x
    x = 117,888,699.24/4,967.44
  6. Step 6: Final answer
    x = 23,732.30

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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.