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Finding the Third Proportional to 48,504 and 72,567

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Solution

The third proportional to 48,504 and 72,567 is: 108,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,504 : 72,567 = 72,567 : x
  2. Step 2: Convert to fraction form
    48,504/72,567 = 72,567/x
  3. Step 3: Cross multiply
    48,504x = 72,567 × 72,567
  4. Step 4: Simplify right side
    48,504x = 5,265,969,489
  5. Step 5: Solve for x
    x = 5,265,969,489/48,504
  6. Step 6: Final answer
    x = 108,567.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.