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Finding the Third Proportional to 27,712.50 and 61,257

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Solution

The third proportional to 27,712.50 and 61,257 is: 135,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.50 : 61,257 = 61,257 : x
  2. Step 2: Convert to fraction form
    27,712.50/61,257 = 61,257/x
  3. Step 3: Cross multiply
    27,712.50x = 61,257 × 61,257
  4. Step 4: Simplify right side
    27,712.50x = 3,752,420,049
  5. Step 5: Solve for x
    x = 3,752,420,049/27,712.50
  6. Step 6: Final answer
    x = 135,405.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.