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Finding the Third Proportional to 21,120 and 30,912

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Solution

The third proportional to 21,120 and 30,912 is: 45,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120 : 30,912 = 30,912 : x
  2. Step 2: Convert to fraction form
    21,120/30,912 = 30,912/x
  3. Step 3: Cross multiply
    21,120x = 30,912 × 30,912
  4. Step 4: Simplify right side
    21,120x = 955,551,744
  5. Step 5: Solve for x
    x = 955,551,744/21,120
  6. Step 6: Final answer
    x = 45,243.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.