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Finding the Third Proportional to 11,135.25 and 22,681.13

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Solution

The third proportional to 11,135.25 and 22,681.13 is: 46,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.25 : 22,681.13 = 22,681.13 : x
  2. Step 2: Convert to fraction form
    11,135.25/22,681.13 = 22,681.13/x
  3. Step 3: Cross multiply
    11,135.25x = 22,681.13 × 22,681.13
  4. Step 4: Simplify right side
    11,135.25x = 514,433,431.27
  5. Step 5: Solve for x
    x = 514,433,431.27/11,135.25
  6. Step 6: Final answer
    x = 46,198.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.