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Finding the Third Proportional to 25,075 and 54,469

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Solution

The third proportional to 25,075 and 54,469 is: 118,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,075 : 54,469 = 54,469 : x
  2. Step 2: Convert to fraction form
    25,075/54,469 = 54,469/x
  3. Step 3: Cross multiply
    25,075x = 54,469 × 54,469
  4. Step 4: Simplify right side
    25,075x = 2,966,871,961
  5. Step 5: Solve for x
    x = 2,966,871,961/25,075
  6. Step 6: Final answer
    x = 118,319.92

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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.