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Finding the Third Proportional to 16,075 and 32,932

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Solution

The third proportional to 16,075 and 32,932 is: 67,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075 : 32,932 = 32,932 : x
  2. Step 2: Convert to fraction form
    16,075/32,932 = 32,932/x
  3. Step 3: Cross multiply
    16,075x = 32,932 × 32,932
  4. Step 4: Simplify right side
    16,075x = 1,084,516,624
  5. Step 5: Solve for x
    x = 1,084,516,624/16,075
  6. Step 6: Final answer
    x = 67,466.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.