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Finding the Third Proportional to 21,017 and 32,075

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Solution

The third proportional to 21,017 and 32,075 is: 48,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,017 : 32,075 = 32,075 : x
  2. Step 2: Convert to fraction form
    21,017/32,075 = 32,075/x
  3. Step 3: Cross multiply
    21,017x = 32,075 × 32,075
  4. Step 4: Simplify right side
    21,017x = 1,028,805,625
  5. Step 5: Solve for x
    x = 1,028,805,625/21,017
  6. Step 6: Final answer
    x = 48,951.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.