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Finding the Third Proportional to 12,740.63 and 27,028.69

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Solution

The third proportional to 12,740.63 and 27,028.69 is: 57,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.63 : 27,028.69 = 27,028.69 : x
  2. Step 2: Convert to fraction form
    12,740.63/27,028.69 = 27,028.69/x
  3. Step 3: Cross multiply
    12,740.63x = 27,028.69 × 27,028.69
  4. Step 4: Simplify right side
    12,740.63x = 730,549,947.97
  5. Step 5: Solve for x
    x = 730,549,947.97/12,740.63
  6. Step 6: Final answer
    x = 57,340.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.