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Finding the Third Proportional to 27,944 and 39,830

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Solution

The third proportional to 27,944 and 39,830 is: 56,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944 : 39,830 = 39,830 : x
  2. Step 2: Convert to fraction form
    27,944/39,830 = 39,830/x
  3. Step 3: Cross multiply
    27,944x = 39,830 × 39,830
  4. Step 4: Simplify right side
    27,944x = 1,586,428,900
  5. Step 5: Solve for x
    x = 1,586,428,900/27,944
  6. Step 6: Final answer
    x = 56,771.72

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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.