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Finding the Third Proportional to 33,573 and 45,435

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Solution

The third proportional to 33,573 and 45,435 is: 61,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,573 : 45,435 = 45,435 : x
  2. Step 2: Convert to fraction form
    33,573/45,435 = 45,435/x
  3. Step 3: Cross multiply
    33,573x = 45,435 × 45,435
  4. Step 4: Simplify right side
    33,573x = 2,064,339,225
  5. Step 5: Solve for x
    x = 2,064,339,225/33,573
  6. Step 6: Final answer
    x = 61,488.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.