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Finding the Third Proportional to 10,940.06 and 22,442.06

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Solution

The third proportional to 10,940.06 and 22,442.06 is: 46,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.06 : 22,442.06 = 22,442.06 : x
  2. Step 2: Convert to fraction form
    10,940.06/22,442.06 = 22,442.06/x
  3. Step 3: Cross multiply
    10,940.06x = 22,442.06 × 22,442.06
  4. Step 4: Simplify right side
    10,940.06x = 503,646,169.25
  5. Step 5: Solve for x
    x = 503,646,169.25/10,940.06
  6. Step 6: Final answer
    x = 46,036.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.