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Finding the Third Proportional to 21,732 and 32,806

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Solution

The third proportional to 21,732 and 32,806 is: 49,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732 : 32,806 = 32,806 : x
  2. Step 2: Convert to fraction form
    21,732/32,806 = 32,806/x
  3. Step 3: Cross multiply
    21,732x = 32,806 × 32,806
  4. Step 4: Simplify right side
    21,732x = 1,076,233,636
  5. Step 5: Solve for x
    x = 1,076,233,636/21,732
  6. Step 6: Final answer
    x = 49,522.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.