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Finding the Third Proportional to 20,827.13 and 22,285.13

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Solution

The third proportional to 20,827.13 and 22,285.13 is: 23,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.13 : 22,285.13 = 22,285.13 : x
  2. Step 2: Convert to fraction form
    20,827.13/22,285.13 = 22,285.13/x
  3. Step 3: Cross multiply
    20,827.13x = 22,285.13 × 22,285.13
  4. Step 4: Simplify right side
    20,827.13x = 496,626,796.27
  5. Step 5: Solve for x
    x = 496,626,796.27/20,827.13
  6. Step 6: Final answer
    x = 23,845.19

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.