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Finding the Third Proportional to 17,545 and 33,473

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Solution

The third proportional to 17,545 and 33,473 is: 63,861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545 : 33,473 = 33,473 : x
  2. Step 2: Convert to fraction form
    17,545/33,473 = 33,473/x
  3. Step 3: Cross multiply
    17,545x = 33,473 × 33,473
  4. Step 4: Simplify right side
    17,545x = 1,120,441,729
  5. Step 5: Solve for x
    x = 1,120,441,729/17,545
  6. Step 6: Final answer
    x = 63,861.03

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.