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Finding the Third Proportional to 12,578.25 and 27,207

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Solution

The third proportional to 12,578.25 and 27,207 is: 58,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.25 : 27,207 = 27,207 : x
  2. Step 2: Convert to fraction form
    12,578.25/27,207 = 27,207/x
  3. Step 3: Cross multiply
    12,578.25x = 27,207 × 27,207
  4. Step 4: Simplify right side
    12,578.25x = 740,220,849
  5. Step 5: Solve for x
    x = 740,220,849/12,578.25
  6. Step 6: Final answer
    x = 58,849.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.