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Finding the Third Proportional to 6,075 and 12,373

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Solution

The third proportional to 6,075 and 12,373 is: 25,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075 : 12,373 = 12,373 : x
  2. Step 2: Convert to fraction form
    6,075/12,373 = 12,373/x
  3. Step 3: Cross multiply
    6,075x = 12,373 × 12,373
  4. Step 4: Simplify right side
    6,075x = 153,091,129
  5. Step 5: Solve for x
    x = 153,091,129/6,075
  6. Step 6: Final answer
    x = 25,200.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.