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Finding the Third Proportional to 2,026.13 and 4,755.38

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Solution

The third proportional to 2,026.13 and 4,755.38 is: 11,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.13 : 4,755.38 = 4,755.38 : x
  2. Step 2: Convert to fraction form
    2,026.13/4,755.38 = 4,755.38/x
  3. Step 3: Cross multiply
    2,026.13x = 4,755.38 × 4,755.38
  4. Step 4: Simplify right side
    2,026.13x = 22,613,591.39
  5. Step 5: Solve for x
    x = 22,613,591.39/2,026.13
  6. Step 6: Final answer
    x = 11,161.01

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.