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Finding the Third Proportional to 7,452 and 17,622.56

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Solution

The third proportional to 7,452 and 17,622.56 is: 41,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452 : 17,622.56 = 17,622.56 : x
  2. Step 2: Convert to fraction form
    7,452/17,622.56 = 17,622.56/x
  3. Step 3: Cross multiply
    7,452x = 17,622.56 × 17,622.56
  4. Step 4: Simplify right side
    7,452x = 310,554,709.07
  5. Step 5: Solve for x
    x = 310,554,709.07/7,452
  6. Step 6: Final answer
    x = 41,674.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.