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Finding the Third Proportional to 15,522 and 33,505

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Solution

The third proportional to 15,522 and 33,505 is: 72,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,522 : 33,505 = 33,505 : x
  2. Step 2: Convert to fraction form
    15,522/33,505 = 33,505/x
  3. Step 3: Cross multiply
    15,522x = 33,505 × 33,505
  4. Step 4: Simplify right side
    15,522x = 1,122,585,025
  5. Step 5: Solve for x
    x = 1,122,585,025/15,522
  6. Step 6: Final answer
    x = 72,322.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.