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Finding the Third Proportional to 13,015.69 and 20,233.55

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Solution

The third proportional to 13,015.69 and 20,233.55 is: 31,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 20,233.55 = 20,233.55 : x
  2. Step 2: Convert to fraction form
    13,015.69/20,233.55 = 20,233.55/x
  3. Step 3: Cross multiply
    13,015.69x = 20,233.55 × 20,233.55
  4. Step 4: Simplify right side
    13,015.69x = 409,396,419.14
  5. Step 5: Solve for x
    x = 409,396,419.14/13,015.69
  6. Step 6: Final answer
    x = 31,454.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.