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Finding the Third Proportional to 14,665 and 24,075

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Solution

The third proportional to 14,665 and 24,075 is: 39,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665 : 24,075 = 24,075 : x
  2. Step 2: Convert to fraction form
    14,665/24,075 = 24,075/x
  3. Step 3: Cross multiply
    14,665x = 24,075 × 24,075
  4. Step 4: Simplify right side
    14,665x = 579,605,625
  5. Step 5: Solve for x
    x = 579,605,625/14,665
  6. Step 6: Final answer
    x = 39,523.06

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.