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Finding the Third Proportional to 21,644 and 32,701

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Solution

The third proportional to 21,644 and 32,701 is: 49,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644 : 32,701 = 32,701 : x
  2. Step 2: Convert to fraction form
    21,644/32,701 = 32,701/x
  3. Step 3: Cross multiply
    21,644x = 32,701 × 32,701
  4. Step 4: Simplify right side
    21,644x = 1,069,355,401
  5. Step 5: Solve for x
    x = 1,069,355,401/21,644
  6. Step 6: Final answer
    x = 49,406.55

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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.