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Finding the Third Proportional to 32,458 and 48,723

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Solution

The third proportional to 32,458 and 48,723 is: 73,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458 : 48,723 = 48,723 : x
  2. Step 2: Convert to fraction form
    32,458/48,723 = 48,723/x
  3. Step 3: Cross multiply
    32,458x = 48,723 × 48,723
  4. Step 4: Simplify right side
    32,458x = 2,373,930,729
  5. Step 5: Solve for x
    x = 2,373,930,729/32,458
  6. Step 6: Final answer
    x = 73,138.54

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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.