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Finding the Third Proportional to 15,723 and 22,041

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Solution

The third proportional to 15,723 and 22,041 is: 30,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723 : 22,041 = 22,041 : x
  2. Step 2: Convert to fraction form
    15,723/22,041 = 22,041/x
  3. Step 3: Cross multiply
    15,723x = 22,041 × 22,041
  4. Step 4: Simplify right side
    15,723x = 485,805,681
  5. Step 5: Solve for x
    x = 485,805,681/15,723
  6. Step 6: Final answer
    x = 30,897.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.