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Finding the Third Proportional to 57,654 and 73,669.50

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Solution

The third proportional to 57,654 and 73,669.50 is: 94,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,654 : 73,669.50 = 73,669.50 : x
  2. Step 2: Convert to fraction form
    57,654/73,669.50 = 73,669.50/x
  3. Step 3: Cross multiply
    57,654x = 73,669.50 × 73,669.50
  4. Step 4: Simplify right side
    57,654x = 5,427,195,230.25
  5. Step 5: Solve for x
    x = 5,427,195,230.25/57,654
  6. Step 6: Final answer
    x = 94,133.89

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.