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Finding the Third Proportional to 7,075 and 10,609

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Solution

The third proportional to 7,075 and 10,609 is: 15,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075 : 10,609 = 10,609 : x
  2. Step 2: Convert to fraction form
    7,075/10,609 = 10,609/x
  3. Step 3: Cross multiply
    7,075x = 10,609 × 10,609
  4. Step 4: Simplify right side
    7,075x = 112,550,881
  5. Step 5: Solve for x
    x = 112,550,881/7,075
  6. Step 6: Final answer
    x = 15,908.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.