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Finding the Third Proportional to 33,677 and 52,289

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Solution

The third proportional to 33,677 and 52,289 is: 81,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,677 : 52,289 = 52,289 : x
  2. Step 2: Convert to fraction form
    33,677/52,289 = 52,289/x
  3. Step 3: Cross multiply
    33,677x = 52,289 × 52,289
  4. Step 4: Simplify right side
    33,677x = 2,734,139,521
  5. Step 5: Solve for x
    x = 2,734,139,521/33,677
  6. Step 6: Final answer
    x = 81,187.15

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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.