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Finding the Third Proportional to 48,467.25 and 71,011.25

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Solution

The third proportional to 48,467.25 and 71,011.25 is: 104,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,467.25 : 71,011.25 = 71,011.25 : x
  2. Step 2: Convert to fraction form
    48,467.25/71,011.25 = 71,011.25/x
  3. Step 3: Cross multiply
    48,467.25x = 71,011.25 × 71,011.25
  4. Step 4: Simplify right side
    48,467.25x = 5,042,597,626.56
  5. Step 5: Solve for x
    x = 5,042,597,626.56/48,467.25
  6. Step 6: Final answer
    x = 104,041.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.