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Finding the Third Proportional to 32,519 and 48,562

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Solution

The third proportional to 32,519 and 48,562 is: 72,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,519 : 48,562 = 48,562 : x
  2. Step 2: Convert to fraction form
    32,519/48,562 = 48,562/x
  3. Step 3: Cross multiply
    32,519x = 48,562 × 48,562
  4. Step 4: Simplify right side
    32,519x = 2,358,267,844
  5. Step 5: Solve for x
    x = 2,358,267,844/32,519
  6. Step 6: Final answer
    x = 72,519.69

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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.