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Finding the Third Proportional to 7,533 and 17,463

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Solution

The third proportional to 7,533 and 17,463 is: 40,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 17,463 = 17,463 : x
  2. Step 2: Convert to fraction form
    7,533/17,463 = 17,463/x
  3. Step 3: Cross multiply
    7,533x = 17,463 × 17,463
  4. Step 4: Simplify right side
    7,533x = 304,956,369
  5. Step 5: Solve for x
    x = 304,956,369/7,533
  6. Step 6: Final answer
    x = 40,482.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.