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Finding the Third Proportional to 27,024 and 39,492

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Solution

The third proportional to 27,024 and 39,492 is: 57,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 39,492 = 39,492 : x
  2. Step 2: Convert to fraction form
    27,024/39,492 = 39,492/x
  3. Step 3: Cross multiply
    27,024x = 39,492 × 39,492
  4. Step 4: Simplify right side
    27,024x = 1,559,618,064
  5. Step 5: Solve for x
    x = 1,559,618,064/27,024
  6. Step 6: Final answer
    x = 57,712.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.