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Finding the Third Proportional to 11,296.13 and 22,636.13

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Solution

The third proportional to 11,296.13 and 22,636.13 is: 45,360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.13 : 22,636.13 = 22,636.13 : x
  2. Step 2: Convert to fraction form
    11,296.13/22,636.13 = 22,636.13/x
  3. Step 3: Cross multiply
    11,296.13x = 22,636.13 × 22,636.13
  4. Step 4: Simplify right side
    11,296.13x = 512,394,155.02
  5. Step 5: Solve for x
    x = 512,394,155.02/11,296.13
  6. Step 6: Final answer
    x = 45,360.17

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.