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Finding the Third Proportional to 27,369 and 39,135

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Solution

The third proportional to 27,369 and 39,135 is: 55,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,369 : 39,135 = 39,135 : x
  2. Step 2: Convert to fraction form
    27,369/39,135 = 39,135/x
  3. Step 3: Cross multiply
    27,369x = 39,135 × 39,135
  4. Step 4: Simplify right side
    27,369x = 1,531,548,225
  5. Step 5: Solve for x
    x = 1,531,548,225/27,369
  6. Step 6: Final answer
    x = 55,959.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.