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Finding the Third Proportional to 47,571.75 and 64,078.88

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Solution

The third proportional to 47,571.75 and 64,078.88 is: 86,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,571.75 : 64,078.88 = 64,078.88 : x
  2. Step 2: Convert to fraction form
    47,571.75/64,078.88 = 64,078.88/x
  3. Step 3: Cross multiply
    47,571.75x = 64,078.88 × 64,078.88
  4. Step 4: Simplify right side
    47,571.75x = 4,106,102,221.27
  5. Step 5: Solve for x
    x = 4,106,102,221.27/47,571.75
  6. Step 6: Final answer
    x = 86,313.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.