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Finding the Third Proportional to 18,757.13 and 40,025.25

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Solution

The third proportional to 18,757.13 and 40,025.25 is: 85,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,757.13 : 40,025.25 = 40,025.25 : x
  2. Step 2: Convert to fraction form
    18,757.13/40,025.25 = 40,025.25/x
  3. Step 3: Cross multiply
    18,757.13x = 40,025.25 × 40,025.25
  4. Step 4: Simplify right side
    18,757.13x = 1,602,020,637.56
  5. Step 5: Solve for x
    x = 1,602,020,637.56/18,757.13
  6. Step 6: Final answer
    x = 85,408.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.