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Finding the Third Proportional to 12,210.75 and 27,178.03

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Solution

The third proportional to 12,210.75 and 27,178.03 is: 60,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.75 : 27,178.03 = 27,178.03 : x
  2. Step 2: Convert to fraction form
    12,210.75/27,178.03 = 27,178.03/x
  3. Step 3: Cross multiply
    12,210.75x = 27,178.03 × 27,178.03
  4. Step 4: Simplify right side
    12,210.75x = 738,645,382.63
  5. Step 5: Solve for x
    x = 738,645,382.63/12,210.75
  6. Step 6: Final answer
    x = 60,491.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.