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Finding the Third Proportional to 11,072.64 and 23,990.55

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Solution

The third proportional to 11,072.64 and 23,990.55 is: 51,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.64 : 23,990.55 = 23,990.55 : x
  2. Step 2: Convert to fraction form
    11,072.64/23,990.55 = 23,990.55/x
  3. Step 3: Cross multiply
    11,072.64x = 23,990.55 × 23,990.55
  4. Step 4: Simplify right side
    11,072.64x = 575,546,714.21
  5. Step 5: Solve for x
    x = 575,546,714.21/11,072.64
  6. Step 6: Final answer
    x = 51,979.19

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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.