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Finding the Third Proportional to 32,682 and 48,893

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Solution

The third proportional to 32,682 and 48,893 is: 73,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682 : 48,893 = 48,893 : x
  2. Step 2: Convert to fraction form
    32,682/48,893 = 48,893/x
  3. Step 3: Cross multiply
    32,682x = 48,893 × 48,893
  4. Step 4: Simplify right side
    32,682x = 2,390,525,449
  5. Step 5: Solve for x
    x = 2,390,525,449/32,682
  6. Step 6: Final answer
    x = 73,145.02

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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.