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Finding the Third Proportional to 27,422 and 41,335

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Solution

The third proportional to 27,422 and 41,335 is: 62,306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422 : 41,335 = 41,335 : x
  2. Step 2: Convert to fraction form
    27,422/41,335 = 41,335/x
  3. Step 3: Cross multiply
    27,422x = 41,335 × 41,335
  4. Step 4: Simplify right side
    27,422x = 1,708,582,225
  5. Step 5: Solve for x
    x = 1,708,582,225/27,422
  6. Step 6: Final answer
    x = 62,306.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.