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Finding the Third Proportional to 57,321.75 and 64,429.50

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Solution

The third proportional to 57,321.75 and 64,429.50 is: 72,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,321.75 : 64,429.50 = 64,429.50 : x
  2. Step 2: Convert to fraction form
    57,321.75/64,429.50 = 64,429.50/x
  3. Step 3: Cross multiply
    57,321.75x = 64,429.50 × 64,429.50
  4. Step 4: Simplify right side
    57,321.75x = 4,151,160,470.25
  5. Step 5: Solve for x
    x = 4,151,160,470.25/57,321.75
  6. Step 6: Final answer
    x = 72,418.59

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.