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Finding the Third Proportional to 27,501 and 60,257

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Solution

The third proportional to 27,501 and 60,257 is: 132,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,501 : 60,257 = 60,257 : x
  2. Step 2: Convert to fraction form
    27,501/60,257 = 60,257/x
  3. Step 3: Cross multiply
    27,501x = 60,257 × 60,257
  4. Step 4: Simplify right side
    27,501x = 3,630,906,049
  5. Step 5: Solve for x
    x = 3,630,906,049/27,501
  6. Step 6: Final answer
    x = 132,028.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.