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Finding the Third Proportional to 39,075 and 84,441

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Solution

The third proportional to 39,075 and 84,441 is: 182,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,075 : 84,441 = 84,441 : x
  2. Step 2: Convert to fraction form
    39,075/84,441 = 84,441/x
  3. Step 3: Cross multiply
    39,075x = 84,441 × 84,441
  4. Step 4: Simplify right side
    39,075x = 7,130,282,481
  5. Step 5: Solve for x
    x = 7,130,282,481/39,075
  6. Step 6: Final answer
    x = 182,476.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.