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Finding the Third Proportional to 33,618.50 and 52,053

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Solution

The third proportional to 33,618.50 and 52,053 is: 80,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,618.50 : 52,053 = 52,053 : x
  2. Step 2: Convert to fraction form
    33,618.50/52,053 = 52,053/x
  3. Step 3: Cross multiply
    33,618.50x = 52,053 × 52,053
  4. Step 4: Simplify right side
    33,618.50x = 2,709,514,809
  5. Step 5: Solve for x
    x = 2,709,514,809/33,618.50
  6. Step 6: Final answer
    x = 80,595.95

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