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Finding the Third Proportional to 47,758 and 64,629.75

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Solution

The third proportional to 47,758 and 64,629.75 is: 87,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,758 : 64,629.75 = 64,629.75 : x
  2. Step 2: Convert to fraction form
    47,758/64,629.75 = 64,629.75/x
  3. Step 3: Cross multiply
    47,758x = 64,629.75 × 64,629.75
  4. Step 4: Simplify right side
    47,758x = 4,177,004,585.06
  5. Step 5: Solve for x
    x = 4,177,004,585.06/47,758
  6. Step 6: Final answer
    x = 87,461.88

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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.