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Finding the Third Proportional to 14,075.44 and 30,584.63

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Solution

The third proportional to 14,075.44 and 30,584.63 is: 66,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.44 : 30,584.63 = 30,584.63 : x
  2. Step 2: Convert to fraction form
    14,075.44/30,584.63 = 30,584.63/x
  3. Step 3: Cross multiply
    14,075.44x = 30,584.63 × 30,584.63
  4. Step 4: Simplify right side
    14,075.44x = 935,419,286.39
  5. Step 5: Solve for x
    x = 935,419,286.39/14,075.44
  6. Step 6: Final answer
    x = 66,457.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.