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Finding the Third Proportional to 21,735 and 32,517

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Solution

The third proportional to 21,735 and 32,517 is: 48,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735 : 32,517 = 32,517 : x
  2. Step 2: Convert to fraction form
    21,735/32,517 = 32,517/x
  3. Step 3: Cross multiply
    21,735x = 32,517 × 32,517
  4. Step 4: Simplify right side
    21,735x = 1,057,355,289
  5. Step 5: Solve for x
    x = 1,057,355,289/21,735
  6. Step 6: Final answer
    x = 48,647.59

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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.