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Finding the Third Proportional to 35,228.25 and 75,461.63

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Solution

The third proportional to 35,228.25 and 75,461.63 is: 161,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,228.25 : 75,461.63 = 75,461.63 : x
  2. Step 2: Convert to fraction form
    35,228.25/75,461.63 = 75,461.63/x
  3. Step 3: Cross multiply
    35,228.25x = 75,461.63 × 75,461.63
  4. Step 4: Simplify right side
    35,228.25x = 5,694,456,847.64
  5. Step 5: Solve for x
    x = 5,694,456,847.64/35,228.25
  6. Step 6: Final answer
    x = 161,644.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.