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Finding the Third Proportional to 27,127 and 65,341

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Solution

The third proportional to 27,127 and 65,341 is: 157,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,127 : 65,341 = 65,341 : x
  2. Step 2: Convert to fraction form
    27,127/65,341 = 65,341/x
  3. Step 3: Cross multiply
    27,127x = 65,341 × 65,341
  4. Step 4: Simplify right side
    27,127x = 4,269,446,281
  5. Step 5: Solve for x
    x = 4,269,446,281/27,127
  6. Step 6: Final answer
    x = 157,387.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.