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Finding the Third Proportional to 20,783.25 and 29,271.38

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Solution

The third proportional to 20,783.25 and 29,271.38 is: 41,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.25 : 29,271.38 = 29,271.38 : x
  2. Step 2: Convert to fraction form
    20,783.25/29,271.38 = 29,271.38/x
  3. Step 3: Cross multiply
    20,783.25x = 29,271.38 × 29,271.38
  4. Step 4: Simplify right side
    20,783.25x = 856,813,394.39
  5. Step 5: Solve for x
    x = 856,813,394.39/20,783.25
  6. Step 6: Final answer
    x = 41,226.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.