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Finding the Third Proportional to 48,508 and 72,573

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Solution

The third proportional to 48,508 and 72,573 is: 108,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,508 : 72,573 = 72,573 : x
  2. Step 2: Convert to fraction form
    48,508/72,573 = 72,573/x
  3. Step 3: Cross multiply
    48,508x = 72,573 × 72,573
  4. Step 4: Simplify right side
    48,508x = 5,266,840,329
  5. Step 5: Solve for x
    x = 5,266,840,329/48,508
  6. Step 6: Final answer
    x = 108,576.74

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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.