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Finding the Third Proportional to 7,522 and 11,462

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Solution

The third proportional to 7,522 and 11,462 is: 17,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522 : 11,462 = 11,462 : x
  2. Step 2: Convert to fraction form
    7,522/11,462 = 11,462/x
  3. Step 3: Cross multiply
    7,522x = 11,462 × 11,462
  4. Step 4: Simplify right side
    7,522x = 131,377,444
  5. Step 5: Solve for x
    x = 131,377,444/7,522
  6. Step 6: Final answer
    x = 17,465.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.