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Finding the Third Proportional to 35,453.06 and 75,599.06

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Solution

The third proportional to 35,453.06 and 75,599.06 is: 161,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,453.06 : 75,599.06 = 75,599.06 : x
  2. Step 2: Convert to fraction form
    35,453.06/75,599.06 = 75,599.06/x
  3. Step 3: Cross multiply
    35,453.06x = 75,599.06 × 75,599.06
  4. Step 4: Simplify right side
    35,453.06x = 5,715,218,250.88
  5. Step 5: Solve for x
    x = 5,715,218,250.88/35,453.06
  6. Step 6: Final answer
    x = 161,205.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.