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Finding the Third Proportional to 27,242 and 39,803

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Solution

The third proportional to 27,242 and 39,803 is: 58,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242 : 39,803 = 39,803 : x
  2. Step 2: Convert to fraction form
    27,242/39,803 = 39,803/x
  3. Step 3: Cross multiply
    27,242x = 39,803 × 39,803
  4. Step 4: Simplify right side
    27,242x = 1,584,278,809
  5. Step 5: Solve for x
    x = 1,584,278,809/27,242
  6. Step 6: Final answer
    x = 58,155.75

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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.