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Finding the Third Proportional to 20,821.22 and 29,674.69

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Solution

The third proportional to 20,821.22 and 29,674.69 is: 42,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821.22 : 29,674.69 = 29,674.69 : x
  2. Step 2: Convert to fraction form
    20,821.22/29,674.69 = 29,674.69/x
  3. Step 3: Cross multiply
    20,821.22x = 29,674.69 × 29,674.69
  4. Step 4: Simplify right side
    20,821.22x = 880,587,078.22
  5. Step 5: Solve for x
    x = 880,587,078.22/20,821.22
  6. Step 6: Final answer
    x = 42,292.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.