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Finding the Third Proportional to 28,075 and 60,281

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Solution

The third proportional to 28,075 and 60,281 is: 129,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,075 : 60,281 = 60,281 : x
  2. Step 2: Convert to fraction form
    28,075/60,281 = 60,281/x
  3. Step 3: Cross multiply
    28,075x = 60,281 × 60,281
  4. Step 4: Simplify right side
    28,075x = 3,633,798,961
  5. Step 5: Solve for x
    x = 3,633,798,961/28,075
  6. Step 6: Final answer
    x = 129,431.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.