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Finding the Third Proportional to 10,040.63 and 18,015.75

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Solution

The third proportional to 10,040.63 and 18,015.75 is: 32,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.63 : 18,015.75 = 18,015.75 : x
  2. Step 2: Convert to fraction form
    10,040.63/18,015.75 = 18,015.75/x
  3. Step 3: Cross multiply
    10,040.63x = 18,015.75 × 18,015.75
  4. Step 4: Simplify right side
    10,040.63x = 324,567,248.06
  5. Step 5: Solve for x
    x = 324,567,248.06/10,040.63
  6. Step 6: Final answer
    x = 32,325.40

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.