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Finding the Third Proportional to 35,451 and 81,607.50

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Solution

The third proportional to 35,451 and 81,607.50 is: 187,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,451 : 81,607.50 = 81,607.50 : x
  2. Step 2: Convert to fraction form
    35,451/81,607.50 = 81,607.50/x
  3. Step 3: Cross multiply
    35,451x = 81,607.50 × 81,607.50
  4. Step 4: Simplify right side
    35,451x = 6,659,784,056.25
  5. Step 5: Solve for x
    x = 6,659,784,056.25/35,451
  6. Step 6: Final answer
    x = 187,858.85

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.