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Finding the Third Proportional to 11,066.38 and 23,976.63

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Solution

The third proportional to 11,066.38 and 23,976.63 is: 51,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066.38 : 23,976.63 = 23,976.63 : x
  2. Step 2: Convert to fraction form
    11,066.38/23,976.63 = 23,976.63/x
  3. Step 3: Cross multiply
    11,066.38x = 23,976.63 × 23,976.63
  4. Step 4: Simplify right side
    11,066.38x = 574,878,546.39
  5. Step 5: Solve for x
    x = 574,878,546.39/11,066.38
  6. Step 6: Final answer
    x = 51,948.23

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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.