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Finding the Third Proportional to 33,045 and 53,196

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Solution

The third proportional to 33,045 and 53,196 is: 85,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,045 : 53,196 = 53,196 : x
  2. Step 2: Convert to fraction form
    33,045/53,196 = 53,196/x
  3. Step 3: Cross multiply
    33,045x = 53,196 × 53,196
  4. Step 4: Simplify right side
    33,045x = 2,829,814,416
  5. Step 5: Solve for x
    x = 2,829,814,416/33,045
  6. Step 6: Final answer
    x = 85,635.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.