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Finding the Third Proportional to 11,545 and 18,084

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Solution

The third proportional to 11,545 and 18,084 is: 28,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545 : 18,084 = 18,084 : x
  2. Step 2: Convert to fraction form
    11,545/18,084 = 18,084/x
  3. Step 3: Cross multiply
    11,545x = 18,084 × 18,084
  4. Step 4: Simplify right side
    11,545x = 327,031,056
  5. Step 5: Solve for x
    x = 327,031,056/11,545
  6. Step 6: Final answer
    x = 28,326.64

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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.