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Finding the Third Proportional to 20,703 and 29,266.50

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Solution

The third proportional to 20,703 and 29,266.50 is: 41,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703 : 29,266.50 = 29,266.50 : x
  2. Step 2: Convert to fraction form
    20,703/29,266.50 = 29,266.50/x
  3. Step 3: Cross multiply
    20,703x = 29,266.50 × 29,266.50
  4. Step 4: Simplify right side
    20,703x = 856,528,022.25
  5. Step 5: Solve for x
    x = 856,528,022.25/20,703
  6. Step 6: Final answer
    x = 41,372.17

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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.