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Finding the Third Proportional to 33,798 and 75,360

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Solution

The third proportional to 33,798 and 75,360 is: 168,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,798 : 75,360 = 75,360 : x
  2. Step 2: Convert to fraction form
    33,798/75,360 = 75,360/x
  3. Step 3: Cross multiply
    33,798x = 75,360 × 75,360
  4. Step 4: Simplify right side
    33,798x = 5,679,129,600
  5. Step 5: Solve for x
    x = 5,679,129,600/33,798
  6. Step 6: Final answer
    x = 168,031.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.