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Finding the Third Proportional to 15,075 and 23,949

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Solution

The third proportional to 15,075 and 23,949 is: 38,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075 : 23,949 = 23,949 : x
  2. Step 2: Convert to fraction form
    15,075/23,949 = 23,949/x
  3. Step 3: Cross multiply
    15,075x = 23,949 × 23,949
  4. Step 4: Simplify right side
    15,075x = 573,554,601
  5. Step 5: Solve for x
    x = 573,554,601/15,075
  6. Step 6: Final answer
    x = 38,046.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.