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Finding the Third Proportional to 27,948 and 39,174

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Solution

The third proportional to 27,948 and 39,174 is: 54,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948 : 39,174 = 39,174 : x
  2. Step 2: Convert to fraction form
    27,948/39,174 = 39,174/x
  3. Step 3: Cross multiply
    27,948x = 39,174 × 39,174
  4. Step 4: Simplify right side
    27,948x = 1,534,602,276
  5. Step 5: Solve for x
    x = 1,534,602,276/27,948
  6. Step 6: Final answer
    x = 54,909.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.