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Finding the Third Proportional to 18,415.13 and 40,203.75

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Solution

The third proportional to 18,415.13 and 40,203.75 is: 87,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.13 : 40,203.75 = 40,203.75 : x
  2. Step 2: Convert to fraction form
    18,415.13/40,203.75 = 40,203.75/x
  3. Step 3: Cross multiply
    18,415.13x = 40,203.75 × 40,203.75
  4. Step 4: Simplify right side
    18,415.13x = 1,616,341,514.06
  5. Step 5: Solve for x
    x = 1,616,341,514.06/18,415.13
  6. Step 6: Final answer
    x = 87,772.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.