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Finding the Third Proportional to 47,574.56 and 103,624.88

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Solution

The third proportional to 47,574.56 and 103,624.88 is: 225,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,574.56 : 103,624.88 = 103,624.88 : x
  2. Step 2: Convert to fraction form
    47,574.56/103,624.88 = 103,624.88/x
  3. Step 3: Cross multiply
    47,574.56x = 103,624.88 × 103,624.88
  4. Step 4: Simplify right side
    47,574.56x = 10,738,114,718.77
  5. Step 5: Solve for x
    x = 10,738,114,718.77/47,574.56
  6. Step 6: Final answer
    x = 225,711.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.