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Finding the Third Proportional to 27,024 and 39,760

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Solution

The third proportional to 27,024 and 39,760 is: 58,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 39,760 = 39,760 : x
  2. Step 2: Convert to fraction form
    27,024/39,760 = 39,760/x
  3. Step 3: Cross multiply
    27,024x = 39,760 × 39,760
  4. Step 4: Simplify right side
    27,024x = 1,580,857,600
  5. Step 5: Solve for x
    x = 1,580,857,600/27,024
  6. Step 6: Final answer
    x = 58,498.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.