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Finding the Third Proportional to 32,503 and 48,542

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Solution

The third proportional to 32,503 and 48,542 is: 72,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503 : 48,542 = 48,542 : x
  2. Step 2: Convert to fraction form
    32,503/48,542 = 48,542/x
  3. Step 3: Cross multiply
    32,503x = 48,542 × 48,542
  4. Step 4: Simplify right side
    32,503x = 2,356,325,764
  5. Step 5: Solve for x
    x = 2,356,325,764/32,503
  6. Step 6: Final answer
    x = 72,495.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.