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Finding the Third Proportional to 18,187.03 and 27,827.30

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Solution

The third proportional to 18,187.03 and 27,827.30 is: 42,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,187.03 : 27,827.30 = 27,827.30 : x
  2. Step 2: Convert to fraction form
    18,187.03/27,827.30 = 27,827.30/x
  3. Step 3: Cross multiply
    18,187.03x = 27,827.30 × 27,827.30
  4. Step 4: Simplify right side
    18,187.03x = 774,358,451.37
  5. Step 5: Solve for x
    x = 774,358,451.37/18,187.03
  6. Step 6: Final answer
    x = 42,577.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.