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Finding the Third Proportional to 21,728 and 32,640

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Solution

The third proportional to 21,728 and 32,640 is: 49,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728 : 32,640 = 32,640 : x
  2. Step 2: Convert to fraction form
    21,728/32,640 = 32,640/x
  3. Step 3: Cross multiply
    21,728x = 32,640 × 32,640
  4. Step 4: Simplify right side
    21,728x = 1,065,369,600
  5. Step 5: Solve for x
    x = 1,065,369,600/21,728
  6. Step 6: Final answer
    x = 49,032.11

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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.