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Finding the Third Proportional to 15,744 and 21,840

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Solution

The third proportional to 15,744 and 21,840 is: 30,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 21,840 = 21,840 : x
  2. Step 2: Convert to fraction form
    15,744/21,840 = 21,840/x
  3. Step 3: Cross multiply
    15,744x = 21,840 × 21,840
  4. Step 4: Simplify right side
    15,744x = 476,985,600
  5. Step 5: Solve for x
    x = 476,985,600/15,744
  6. Step 6: Final answer
    x = 30,296.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.