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Finding the Third Proportional to 14,809 and 32,075

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Solution

The third proportional to 14,809 and 32,075 is: 69,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809 : 32,075 = 32,075 : x
  2. Step 2: Convert to fraction form
    14,809/32,075 = 32,075/x
  3. Step 3: Cross multiply
    14,809x = 32,075 × 32,075
  4. Step 4: Simplify right side
    14,809x = 1,028,805,625
  5. Step 5: Solve for x
    x = 1,028,805,625/14,809
  6. Step 6: Final answer
    x = 69,471.65

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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.