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Finding the Third Proportional to 22,421 and 35,682

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Solution

The third proportional to 22,421 and 35,682 is: 56,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421 : 35,682 = 35,682 : x
  2. Step 2: Convert to fraction form
    22,421/35,682 = 35,682/x
  3. Step 3: Cross multiply
    22,421x = 35,682 × 35,682
  4. Step 4: Simplify right side
    22,421x = 1,273,205,124
  5. Step 5: Solve for x
    x = 1,273,205,124/22,421
  6. Step 6: Final answer
    x = 56,786.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.