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Finding the Third Proportional to 12,444.05 and 27,075.09

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Solution

The third proportional to 12,444.05 and 27,075.09 is: 58,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.05 : 27,075.09 = 27,075.09 : x
  2. Step 2: Convert to fraction form
    12,444.05/27,075.09 = 27,075.09/x
  3. Step 3: Cross multiply
    12,444.05x = 27,075.09 × 27,075.09
  4. Step 4: Simplify right side
    12,444.05x = 733,060,701.57
  5. Step 5: Solve for x
    x = 733,060,701.57/12,444.05
  6. Step 6: Final answer
    x = 58,908.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.