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Finding the Third Proportional to 11,535.75 and 18,072.28

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Solution

The third proportional to 11,535.75 and 18,072.28 is: 28,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.75 : 18,072.28 = 18,072.28 : x
  2. Step 2: Convert to fraction form
    11,535.75/18,072.28 = 18,072.28/x
  3. Step 3: Cross multiply
    11,535.75x = 18,072.28 × 18,072.28
  4. Step 4: Simplify right side
    11,535.75x = 326,607,349.58
  5. Step 5: Solve for x
    x = 326,607,349.58/11,535.75
  6. Step 6: Final answer
    x = 28,312.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.