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Finding the Third Proportional to 32,519 and 48,643

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Solution

The third proportional to 32,519 and 48,643 is: 72,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,519 : 48,643 = 48,643 : x
  2. Step 2: Convert to fraction form
    32,519/48,643 = 48,643/x
  3. Step 3: Cross multiply
    32,519x = 48,643 × 48,643
  4. Step 4: Simplify right side
    32,519x = 2,366,141,449
  5. Step 5: Solve for x
    x = 2,366,141,449/32,519
  6. Step 6: Final answer
    x = 72,761.81

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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.