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Finding the Third Proportional to 48,271.50 and 71,655

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Solution

The third proportional to 48,271.50 and 71,655 is: 106,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,271.50 : 71,655 = 71,655 : x
  2. Step 2: Convert to fraction form
    48,271.50/71,655 = 71,655/x
  3. Step 3: Cross multiply
    48,271.50x = 71,655 × 71,655
  4. Step 4: Simplify right side
    48,271.50x = 5,134,439,025
  5. Step 5: Solve for x
    x = 5,134,439,025/48,271.50
  6. Step 6: Final answer
    x = 106,365.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.