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Finding the Third Proportional to 7,075 and 9,574.38

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Solution

The third proportional to 7,075 and 9,574.38 is: 12,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075 : 9,574.38 = 9,574.38 : x
  2. Step 2: Convert to fraction form
    7,075/9,574.38 = 9,574.38/x
  3. Step 3: Cross multiply
    7,075x = 9,574.38 × 9,574.38
  4. Step 4: Simplify right side
    7,075x = 91,668,656.64
  5. Step 5: Solve for x
    x = 91,668,656.64/7,075
  6. Step 6: Final answer
    x = 12,956.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.