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Finding the Third Proportional to 27,292 and 56,309

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Solution

The third proportional to 27,292 and 56,309 is: 116,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292 : 56,309 = 56,309 : x
  2. Step 2: Convert to fraction form
    27,292/56,309 = 56,309/x
  3. Step 3: Cross multiply
    27,292x = 56,309 × 56,309
  4. Step 4: Simplify right side
    27,292x = 3,170,703,481
  5. Step 5: Solve for x
    x = 3,170,703,481/27,292
  6. Step 6: Final answer
    x = 116,177.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.