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Finding the Third Proportional to 27,202 and 38,308

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Solution

The third proportional to 27,202 and 38,308 is: 53,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202 : 38,308 = 38,308 : x
  2. Step 2: Convert to fraction form
    27,202/38,308 = 38,308/x
  3. Step 3: Cross multiply
    27,202x = 38,308 × 38,308
  4. Step 4: Simplify right side
    27,202x = 1,467,502,864
  5. Step 5: Solve for x
    x = 1,467,502,864/27,202
  6. Step 6: Final answer
    x = 53,948.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.