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Finding the Third Proportional to 12,578.63 and 27,627.75

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Solution

The third proportional to 12,578.63 and 27,627.75 is: 60,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.63 : 27,627.75 = 27,627.75 : x
  2. Step 2: Convert to fraction form
    12,578.63/27,627.75 = 27,627.75/x
  3. Step 3: Cross multiply
    12,578.63x = 27,627.75 × 27,627.75
  4. Step 4: Simplify right side
    12,578.63x = 763,292,570.06
  5. Step 5: Solve for x
    x = 763,292,570.06/12,578.63
  6. Step 6: Final answer
    x = 60,681.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.