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Finding the Third Proportional to 1,075 and 2,330

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Solution

The third proportional to 1,075 and 2,330 is: 5,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075 : 2,330 = 2,330 : x
  2. Step 2: Convert to fraction form
    1,075/2,330 = 2,330/x
  3. Step 3: Cross multiply
    1,075x = 2,330 × 2,330
  4. Step 4: Simplify right side
    1,075x = 5,428,900
  5. Step 5: Solve for x
    x = 5,428,900/1,075
  6. Step 6: Final answer
    x = 5,050.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.