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Finding the Third Proportional to 35,080.50 and 53,496

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Solution

The third proportional to 35,080.50 and 53,496 is: 81,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,080.50 : 53,496 = 53,496 : x
  2. Step 2: Convert to fraction form
    35,080.50/53,496 = 53,496/x
  3. Step 3: Cross multiply
    35,080.50x = 53,496 × 53,496
  4. Step 4: Simplify right side
    35,080.50x = 2,861,822,016
  5. Step 5: Solve for x
    x = 2,861,822,016/35,080.50
  6. Step 6: Final answer
    x = 81,578.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.