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Finding the Third Proportional to 33,498 and 52,080

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Solution

The third proportional to 33,498 and 52,080 is: 80,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,498 : 52,080 = 52,080 : x
  2. Step 2: Convert to fraction form
    33,498/52,080 = 52,080/x
  3. Step 3: Cross multiply
    33,498x = 52,080 × 52,080
  4. Step 4: Simplify right side
    33,498x = 2,712,326,400
  5. Step 5: Solve for x
    x = 2,712,326,400/33,498
  6. Step 6: Final answer
    x = 80,969.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.